Aha, thank you. There was recently a good critical-thinking infograph on my dash, so obviously I thought I remembered who reblogged it and checked their blog, it wasn't them, thought it was someone else, checked their blog, it also wasn't them, and now I can't find it to link to. Alas. But I will try to sum up its main points and add a few of my own. I'm glad you're taking the initiative to work on this for yourself, and I will add that while it can seem difficult and overwhelming to sort through the mass of information, especially often-false, deliberately misleading, or otherwise bad information, there are a few tips to help you make some headway, and it's a skill that like any other skill, gets easier with practice. So yes.
The first and most general rule of thumb I would advise is the same thing that IT/computer people tell you about scam emails. If something is written in a way that induces urgency, panic, the feeling that you need to do something RIGHT NOW, or other guilt-tripping or anxiety-inducing language, it is -- to say the least -- questionable. This goes double if it's from anonymous unsourced accounts on social media, is topically or thematically related to a major crisis, or anything else. The intent is to create a panic response in you that overrides your critical faculties, your desire to do some basic Googling or double-checking or independent verification of its claims, and makes you think that you have to SHARE IT WITH EVERYONE NOW or you are personally and morally a bad person. Unfortunately, the world is complicated, issues and responses are complicated, and anyone insisting that there is Only One Solution and it's conveniently the one they're peddling should not be trusted. We used to laugh at parents and grandparents for naively forwarding or responding to obviously scam emails, but now young people are doing the exact same thing by blasting people with completely sourceless social media tweets, clips, and other manipulative BS that is intended to appeal to an emotional gut rather than an intellectual response. When you panic or feel negative emotions (anger, fear, grief, etc) you're more likely to act on something or share questionable information without thinking.
Likewise, you do have basic Internet literacy tools at your disposal. You can just throw a few keywords into Google or Wikipedia and see what comes up. Is any major news organization reporting on this? Is it obviously verifiable as a fake (see the disaster pictures of sharks swimming on highways that get shared after every hurricane)? Can you right-click, perform a reverse image search, and see if this is, for example, a picture from an unrelated war ten years ago instead of an up-to-date image of the current conflict? Especially with the ongoing Israel/Palestine imbroglio, we have people sharing propaganda (particularly Hamas propaganda) BY THE BUCKETLOAD and masquerading it as legitimate news organizations (tip: Quds News Network is literally the Hamas channel). This includes other scuzzy dirtbag-left websites like Grayzone and The Intercept, which often have implicit or explicit links to Russian-funded disinformation campaigns and other demoralizing or disrupting fake news that is deliberately designed to turn young left-leaning Westerners against the Democrats and other liberal political parties, which enables the electoral victory of the fascist far-right and feeds Putin's geopolitical and military aims. Likewise, half of our problems would be solved if tankies weren't so eager to gulp down and propagate anything "anti-Western" and thus amplify the Russian disinformation machine in a way even the Russians themselves sometimes struggle to do, but yeah. That relates to both Russia/Ukraine and Israel/Palestine.
Basically: TikTok, Twitter/X, Tumblr itself, and other platforms are absolutely RIFE with misinformation, and this is due partly to ownership (the Chinese government and Elon Fucking Musk have literally no goddamn reason whatsoever to build an unbiased algorithm, and have been repeatedly proven to be boosting bullshit that supports their particular worldviews) and partly due to the way in which the young Western left has paralyzed itself into hypocritical moral absolutes and pseudo-revolutionary ideology (which is only against the West itself and doesn't think that the rest of the world has agency to act or think for itself outside the West's influence, They Are Very Smart and Anti-Colonialist!) A lot of "information" in left-leaning social media spaces is therefore tainted by this perspective and often relies on flat-out, brazen, easily disprovable lies (like the popular Twitter account insisting that Biden could literally just overturn the Supreme Court if he really wanted to). Not all misinformation is that easy to spot, but with a severe lack of political, historical, civic, or social education (since it's become so polarized and school districts generally steer away from it or teach the watered-down version for fear of being attacked by Moms for Liberty or similar), it is quickly and easily passed along by people wanting trite and simplistic solutions for complex problems or who think the extent of social justice is posting the Right Opinions on social media.
As I said above, everything in the world is complicated and has multiple factors, different influences, possible solutions, involved actors, and external and internal causes. For the most part, if you're encountering anything that insists there's only one shiningly righteous answer (which conveniently is the one All Good and Moral People support!) and the other side is utterly and even demonically in the wrong, that is something that immediately needs a closer look and healthy skepticism. How was this situation created? Who has an interest in either maintaining the status quo, discouraging any change, or insisting that there's only one way to engage with/think about this issue? Who is being harmed and who is being helped by this rhetoric, including and especially when you yourself are encouraged to immediately spread it without criticism or cross-checking? Does it rely on obvious lies, ideological misinformation, or something designed to make you feel the aforementioned negative emotions? Is it independently corroborated? Where is it sourced from? When you put the author's name into Google, what comes up?
Also, I think it's important to add that as a result, it's simply not possible to distill complicated information into a few bite-sized and easily digestible social media chunks. If something is difficult to understand, that means you probably need to spend more time reading about it and encountering diverse perspectives, and that is research and work that has to take place primarily not on social media. You can ask for help and resources (such as you're doing right now, which I think is great!), but you can't use it as your chief or only source of information. You can and should obviously be aware of the limitations and biases of traditional media, but often that has turned into the conspiracy-theory "they never report on what's REALLY GOING ON, the only information you can trust is random anonymous social media accounts managed by God knows who." Traditional media, for better or worse, does have certain evidentiary standards, photographing, sourcing, and verifying requirements, and other ways to confirm that what they're writing about actually has some correspondence with reality. Yes, you need to be skeptical, but you can also trust that some of the initial legwork of verification has been done for you, and you can then move to more nuanced review, such as wording, presentation of perspective, who they're interviewing, any journalistic assumptions, any organizational shortcomings, etc.
Once again: there is a shit-ton of stuff out there, it is hard to instinctively know or understand how to engage with it, and it's okay if you don't automatically "get" everything you read. That's where the principle of actually taking the time to be informed comes in, and why you have to firmly divorce yourself from the notion that being socially aware or informed means just instantly posting or sharing on social media about the crisis of the week, especially if you didn't know anything about it beforehand and are just relying on the Leftist Groupthink to tell you how you should be reacting. Because things are complicated and dangerous, they take more effort to unpick than just instantly sharing a meme or random Twitter video or whatever. If you do in fact want to talk about these things constructively, and not just because you feel like you're peer-pressured into doing so and performing the Correct Opinions, then you will in fact need to spend non-social-media time and effort in learning about them.
If you're at a university, there are often subject catalogues, reference librarians, and other built-in tools that are there for you to use and which you SHOULD use (that's your tuition money, after all). That can help you identify trustworthy information sources and research best practices, and as you do that more often, it will help you have more of a feel for things when you encounter them in the wild. It's not easy at first, but once you get the hang of it, it becomes more so, and will make you more confident in your own judgments, beliefs, and values. That way when you encounter something that you KNOW is wrong, you won't be automatically pressured to share it just to fit in, because you will be able to tell yourself what the problems are.