It's great that you go through this sort of process to attempt to get to the truth, but part of the problem regarding media that got us to this point is that people think Fox and CNN are equally biased and reliable. The Fox website is better than the TV network, though.
Certainly more eyerolls on Fox News than CNN.
Most of the time the actual content of the news articles isn't so bad. It's the headlines and the curation of what stories to plaster at the top of their sites and which ones to bury that I think the bias really is obvious. CNN is worse on headlines, IMO, you can really tell that they want the reader to go into the article with a certain mindset. Fox is worse on curating, they're super slow with any story that looks bad for Republicans and usually leave it down in whatever the internet version of below the fold is once they get around to even mentioning it. Fox also doesn't as clearly distinguish between opinion pieces and news pieces.