I can confirm that limiting how much you read and where you read stuff is best for keeping sanity. Every news site wants to post the worst about any situation because it's what gets the clicks and spins every story to fit what they want to say.
Something which has also helped me is also trying to look for the positives of the situation, not only is China really low on new case count (whether you choose to believe this or not is up to you, but I like to employ the idea of "believing something which could happen until I see evidence suggesting otherwise"), but Italy is also starting to see some form of decline in cases over the past few days. It feels like as long as you employ good social distancing, the worst of it will pass potentially by the time we hit Early-Mid June.
Whilst you have people being very greedy with stockpiling, you also have a lot of people offering to shop for others who are unable (for one reason or another) to go outside. This will undoubtedly raise awareness of not spreading around even small viruses. If this does become a seasonal thing or another virus occurs, hopefully the governments of the world will know how to react and what measures to take to reduce the spread.
And as Dacius said, employing the rules that have been set out will mean that are far less likely to pass on anything.
If you haven't seen, I feel like this video by Mark Rober helps with explaining some things:
https://www.youtube.com/watch?v=I5-dI74zxPg
TL;DR: Don't look at new sources, there are positives to the situation, there is an end to this.
