My Dad recommended plasters that keep the graze moist so no scab forms. You wash the wound with clean water and simply pop one of these new plasters on. You get them up to pretty big sizes. They don't come cheap but in most cases you only need one plaster! I was super surprised when after a couple of days she wanted to take the plaster off and the graze was perfectly healed. It definitely sped up the healing process and it avoids the kids picking at it - less scarring. Thanks Dad!
The principle is not new at all, it's was pioneered in 1962 and professionals have been using it since. It's now finally available and affordable for the rest of us. So yes to the wet plaster :) They don't look much different but work a lot better, do give it a try!