Quality Game

This is called quality game here in our place. Which the higher rating play w/out 1 rook and the lower rating play w/out 1 bishop. . Can you help me for this? I play this quality game w/ my friend which has a higher rating than me. So i play w/out 1 bishop and he play w/out 1 rook. My problem is the opening. Plz tell me, what best opening for this. I play white.