Lay off the peroxide, it isn't helping matters. You don't need to worry about keeping it cleaner than you can get with a regular shower. The skin in the area will be slightly swollen. You damaged skin that has to be repaired. There's extra blood supply to the area to help do that, and the swelling tends to encourage you to keep your hands off it and take care not to bang it. You don't even need to put Neosporin on it. By now the outer skin is healed closed, and the repairs are all underneath where the ointment can't reach. Peroxide kills healthy cells as well, and keeps the whole thing moist. A dry cut heals faster than a wet one. So just put on the bandage, and leave it be in peace.