Personally I'd get a 360. there are MANY deaf 360 gamers at DeafMadden.com , DeafGamersOnline.com. The PS3 has a few deaf gamers, but the network has a bad rep. Besides, the 360 is getting better with the Falcon chipsets and new heatsink trays, but you'd have to look up(google) how to identify if you are looking at a Falcon 360 in the store or not. The 360 also is guaranteed for 1 year.
Personally I want a Wii, but damn, I gotta write down all these numbers to make up a friends list or whatever it is with the Wii? NIntendo's kind of lame ducking it in that department.
I'd get a PS3, but the 360's too sweet right now. Halo3, Call of Duty 4, many many excellent games, and Rainbow Six Vegas 2 in March.
What really should influecne your decison is not schematics, system performance, etc, but what games you want to play. Each system has its exclusives.
Wii: Super Mario Galaxy, Nintendo Properties(zelda, Smash Bros Brawl etc) and.. No More Heroes
PS3: Uncharted: Drake's Fortune, and the upcoming Metal Gear Solid 4/Metal Gear Solid Online (PS3 really doesn't have much of a library to boast at the moment)
360: Halo3, Call of Duty 4, Madden 08, Gears of War(still one of the most popular games on XBOX Live), and the best selection of the 3 consoles in terms of game variety.
Call of Duty 4 and Madden 08 are also on PS3, but popular choice seems to prefer he 360 version each time. I think COD4 on the 360 has better network, and the PS3 version of Madden 08 runs at 30 frames per second, while the 360 runs at 60, and again, the XBL network trumps Playstation network.
Again, I'd get a 360, meet a ton of deaf people here and at DGO, and never look back! Heh.