I have a suggestion. You should limit how many players are on each team considering you can only sumbit so many players. I would limit it to 3 hitters/fielders per a team(you can only post 108 or so) and the same for pitchers. Put players on the teams that need someone for that position the most. For example, on the Yankees you wouldn't want to bring in a third baseman to replace A-Rod but you would want someone to play first instead.
I'll put in my shortstop:
Read about him here viewtopic.php?f=13&t=1322
I'll also put a strong and great closer here, a DH with a huge amount of power, perhaps a pitching starter, and probably a strong armed catcher or a quick and good fielding outfielder with above-average hitting ability. I haven't made them yet, I just have plans.
I'm making my own team, so I'll have a lot.
Edit: Put him on any you want besides the Red Sox or the D-Backs. Yankees have Jeter so they wouldn't need him. Bartlets allright, but maybe he'd do well on the Rays? I'd prefer a weaker team to even things out. All my players besides one or two will be for weaker teams.