My system is:
Rule number 1 - only local-ish facts. If there's a catastrophe in Vanuatu I should not have to care about it. I can't even find the place on a map.
Rule number 2 - only if the information reaches me. That means no "news" allowed. Block that word. When people you care about, in the places that you care about are discussing an issue that they care about, that's your hint to also care about it.
Rule number 3 - if I won't be consulted on the matter, then I don't need to have an opinion on the matter. It doesn't make you a bad person. Your own guilt won't improve others' (current and past) suffering.
I think it's important to mention that there's a worsening effect overall the more we stay connected to all the crap that happens in the world, which is our own desensitisation to it. I believe we need to stay a little away from it so we don't start to see all this as normal.
Also, of course, the negativity bias is brutal. You'll be dragged into it whether you want it or not, better to practice keeping yourself away from it. You'll be reminded of your privileges soon enough =)