If you'd rather not just accept your current level of cognitive bias, the web site Less Wrong has a bunch of articles by and for people trying to become less wrong about things. Anecdotally, I've noticed that people I know via the Less Wrong community tend to be decidedly less full of crap than average, so it seems to work. For example, here's a series of articles on the subject of avoiding excessive attachment to false beliefs, which I found to be generally entertaining and insightful:
http://wiki.lesswrong.com/wiki/How_To_Actually_Change_Your_M...
Any of those articles are a good place to start, so don't be intimidated by the amount of stuff there.