Bias isn't really an issue on its own, you just have to be conscious that anything you read could potentially be presented misleadingly, if not out-right fabricated. Don't get butthurt over openly-biased opinion pieces and conflate that with the news being fake. When you run into sources that are so out of touch with reality (ZeroHedge, Salon, etc), you should stop going to those places as reliable sources, if only to save you time and/or potential embarrassment when they mislead you. Go straight to the sources of news, don't expect reporters to disclose every potential conflict of interest that may exist between their sources and their stories. When you see a ten second video clip or a single sentence quoted, make a habit of immediately searching for the full context and see if what was presented accurately described the situation. Try to find even greater context for big, new stories. So subject X is really hot in the press right now, what happens if you look at official statistics going back ten, twenty, fifty years? Information exists to inform you, not direct you, having a worthwhile opinion means going through the effort of challenging your opinions with facts that may be initially difficult to believe.
That's what I like about internet forums, in that even if it means anyone can post any kind of bullshit, there are usually those willing to shoot it down and immediately provide all sorts of other sources.