I actually started doing something similar to follow my own teams (thought someday I'd expand but just never have). Anyhow, one thing we've found is that player tweets are generally worthless and as others have already noted the bloggers/writers and just conversational tweets surrounding teams are often more informative.

Here is my page (which is not near as nice as yours but I really just built it for me to follow news regarding my Chiefs!):

http://sportszealots.com/1-Kansas-City-Chiefs.html