The internet is a wonderful thing.
But the heart of the bias problem isn't that the sources are biased, at least if you stay away from outright nonsense like InfoWars. Rather, the problem is that people are biased, and then start looking for news that reinforces our biases. We can even read the same story and get entirely different interpretations of it (see all the arguing downthread about DACA negotiations).
Facts are (mostly) objective; interpretation is always subjective.
It also depends on what the story involves. The example I gave above—a plane crash—is very objective. Something bad happened, people were likely hurt, authorities are investigating, etc. Where it starts to get murky is when a story taps into an ongoing narrative like gun control.
Notice how the major news networks were (and still are) each pushing their own narrative around the Parkland shooting. The left-leaning media were pushing the need for more gun control and anchoring that to the victims, the right was babbling on about how the left was just trying to steal everyone's guns and why gun ownership is positive. It's where you're being told that one side is "evil" that your antennae should go up.
In situations like these, it's worth considering what is factually true, what is opinion/emotionally-driven bias, and working hard to form your own opinions.
If one side says 2+2=4, and the other side said 2+2=6, the truth is not that 2+2=5 and everyone needs to stop being so partisan.