Personally, I fixed the problem by not bothering with "staying informed" at all. I ditched media outside of local news entirely, and just don't engage with things that I can't do anything about. It would boil down to "focus on things you can control." Sure, it's fun to be outraged together with your friends about "X leader in Y country does Z crazy thing" but.. can you do anything about it? Does your opinion matter?…
When you finally decide to pay attention, there is a chance that you will not be able to easily absorb everything that leads to the situation so you will lack any perspective of the past events.
We live in an extremely dense and complex times, staying informed is very difficult as it is even when you try to pay attention.