There is no such thing as "liberal media." It's a lie put forth by those who say things that are extreme and unfortunately too many people buy into it. The media is run by corporations for the express purpose of making a profit. There was a time, decades ago, where the media was about information. This is just no longer the case with the major media outlets.
There are plenty of sources for liberal and conservatives to find their news that is biased towards their particular points of view. Overall though, there is no liberal media bias. You'll note that the only ones who make the claim are the ones who say the strangest or most extreme things. Newt Gingrich doesn't go around bashing "liberal media" (he used to complain but no longer) nor does Colin Powell or Condi Rice. Why? They aren't trying to fool the public like a few others who parade in front of a microphone speaking when they should be listening.