I am a D too, and I just do what Caleb does, our I just say screw it and wear a sports bra since it doesn't look much different.
I don't want to discourage you from working out, but since I've started lifting weights again, my chest has seemed perkier because my pectoral muscles are bigger, which kind of pushes everything up. But, if you're looking to loose weight, your moobs should get at least a little smaller.