My approach has been to ignore most media. If it’s truly important it tends to find its way to you and then you can decide if you care or not.
As for information consumption, I just treat everything as a data point. Instead of looking for absolute right and wrong, look at the big picture. Individual data points are useless on their own but collect a large number and you start seeing a pattern. Helps to keep an open mind in the process and not rush to conclusions.