I don't find the news to be depressing, and it doesn't make me worry.
I believe the approach is to assess the truthful elements of the news, and try and filter out the facts from the comment and observation. Virtually all media - probably the BBC is the least biased, in spite of shouts to the contrary - has a 'spin' on the basis of the audience to whom they wish to appeal, so you need to be able to work around that.
Sadly, most 'news' is bad, that's human nature, but again, you can filter out the parts you want, and disgard the rest.
In fact, that filtering process happens to us all the time every day. we are bombarded by adverts, which i consider to be far more insidious than the news - and we naturally filter out the ones that don't appeal, so the mechanism is certainly there, you just need to tune it into the reality of the world around you.
i think to not know what is going on around is, by definition, to be uninformed, and lack of information makes choices difficult, and choicec is what we need more, not less of in our modern world.