I agree that people "love hydrogen peroxide" because it foams up and it looks like it is really doing something. Well it *is* doing something- destroying the tiny blood vessels remaining around the edges of the wound. These blood vessels are what must migrate into the wound to allow healing. Anyone swearing you had terrific results must have had them despite the use of peroxide, not because of it.
As Ryle said, your best bet, especially on a superficial wound, is diluted betadine or chlorhex. Not only are both of these less damaging, but they both kill a broader spectrum of bacteria and viruses as well as maintain MUCH better killing ability for much longer when left on the wound. They also don't change the pH of the wound as much which is very important to let the body do it's job and heal.