It's amazing how if someone shared NYTimes, WaPo, VOX, VICE etc, then everyone's cool. But if someone shares a slightly right leaning source, people start asking for "non-conservative" source.
Honestly you won't get a clear picture from reading a single source, or even multiple sources that lean a particular way. You have to read multiple sources from both political leanings.
Think of it as a trial. Liberal leaning media is the prosecutor and conservative media is the defendant. Depending on the topic, these roles are reversed.