Good job! You are off to a good start. Keeping it clean is the most important thing to do. I was told by my vet to clean a wound on my dog 3 times per day with peroxide. I cleaned it at least that often (ok, I admit it, I was hyper-vigilant and cleaned it closer to 6 times per day) and he healed beautifully.
If you see ANY sign of infection, please take your dog to the vet asap.