I've had great results with Neutrogena. No perfume, does not feel greasy, a tiny bit goes far ... and hands heal real fast.

Though ... think for a second as to the cause of the cracking and peeling. If your hands also happen to be wet a lot, or you are seeing tiny clusters of pinhead size blisters .... you probably have a fungus, AKA "athletes foot." There are also creams (creams are not oily; ointments are)for that as well.