I'm a pro at this, unfortunately. Here's what you should do after cleaning it up:

Buy these (or the generic version) at Target, Walgreens, Walmart, etc:
http://www.walgreens.com/store/produ...&id=prod727947

Buy a tub of vasoline (it's cheaper than Neosporin)

Smear the vasoline over the whole bandage, then stick the bandage to your wound. Tape it up afterward. Even non-stick bandages will stick, so the vasoline prevents this. Also, keeping it moist means it heals faster and with less scarring.

It should only need to be changed 1-2x/day. Do this for about 10-14 days and it should be good enough to remove.