Need new battery...help?

I have a 1992 honda prelude si with stock alternator and battery and wiring. I have a system in it now its a kenwood kac-7204 amp and a 15inch kicker comp in a sealed box bridged for 500 w rms and 1000 watts max with a 1/0 wiring kit. The lights severly dim due to the stock 90 amp alternator. So I am planning to get a 165amp high output alternator and do the BIG 3 upgrade with 1/0 wiring. The big question is how big of a battery should I get or what brand??