When framed in terms of bias, the implication is that things in the centre are unbiased, or that the bias somehow equals out — that you get the best picture by reading those news sources.
...when the truth is that no news source is unbiased. Period.
Even if a particular source somehow manages to perfectly balance between whatever the current "left" and "right" are in that political environment, that doesn't make it free of bias. Sometimes the people on one side of the political spectrum in a given environment are genuinely, collectively, doing bad things! Sometimes there are personal biases! Sometimes the political environment shifts, and leaves you behind!
In general, it's much more important and productive to be aware of and transparent about your own biases than it is to try to present yourself as "unbiased".