Update:
I looked closer at the biggest bluegill/redears. Some were bluegill/redears, but the biggest look like green sunfish... Oh well. Won't matter long term.
Bill's right about dead fish being good bait. I ran out of the cheese bait and just left at least one bullhead in each of the traps. I checked them yesterday and some of the traps had quite a few bullheads in them. Some fairly big ones too. I may not have giant bluegill yet or perch; but I may be in the running if Bruce and Cecil want to race for the biggest bullheads!
Seriously, just leaving some fish in the traps to become bait seems to work really well...