Wait a minute, Supersoulty. I get both papers every week, and I'm not saying that the Post is biased towards the left, it is. But I think you're underestimating the right bias of the Trib. Colin McNickle and Ann Coulter are in the paper almost weekly, and they are two of the most conservative writers I know of.
I'll give you that. However, Colin McNickle gets front page every week only because he works for the Trib. The other front page article... the one above the fold, reflects a different political opinion every week, as do many of the articles inside. Conservative articles rarely make it in the Post at all, let alone on the front page of the opinion section.
As for the reporting throughout the rest of the paper, they are both bias, but it has been my expirience that the Trib is less so.