1. Most important of all, is keep the tattoo site clean at all times.  Using a spray soap product intended for tattoo aftercare is a good idea as it is not too harsh but still deep cleans, and isn't pore clogging. 

2. Stay out of the sun entirely for the first month at least during the healing period.  Get a chapstick with sunscreen and outline the tattoo and then fill it in and that's a great way to protect it once the healing period has passed.  Know that all sun exposure will eventually add to fading your tattoo ink.

3. Never pick at scabs or peeling skin during the healing period.  Using a product such as Raven Tattoo Care salve to keep the area moisturized seems to minimize the peeling and help it along.

4. Stay out of the ocean, jaccuzis, hot-tubs and hot baths during the healing period.

5. If you cannot remove the bandage, soak the area in water so it can gently fall off.