Do these things after you receive your tattoo:
After you're done with your session, please just take it easy-- go have some food, drink some liquids and relax. Do nothing strenuous for the rest of the day/evening, to help your body replenish itself. Don't work out or get your brand new tattoo sweaty or dirty.
Keep your bandage on for at least 3 hours. After that, take it off; you won't need to put another bandage on your new tat. Wash your hands and wash your tattoo thoroughly with warm water and mild soap-- something without perfumes or dyes. Liquid soap is best; bar soaps tend to sit in sinks collecting germs. Dr. Bronner's unscented liquid soap (except for the Peppermint!) is good. If you can't find that, Dial's Antibacterial liquid soap is OK.
Towel your tattoo dry, then apply a thin layer of A & D ointment to your new tattoo. Do this process of washing and then applying ointment at least twice a day. If your skin is dry, you should do this more often. Continue this process for 4-7 days, depending on how fast you heal. For those of you who are allergic to or don't want to use petroleum products, you can use calendula, coconut or olive oil for your healing, but be aware that you'll have to use more of it and apply WAY more often, than if you were using ointment.
After about 4-7 days, apply unscented, non-perfumed skin lotion, instead of the A & D ointment, as needed. I recommend Curel or Cetaphil-- a lotion without too much alcohol is best, because alcohol will dry the skin out too fast. You want to keep your new tattoo clean, moist and protected. If you have to use perfumes or body sprays, don't put them on your new tattoo-- wait for two months before you use them on your new tat.
Always make sure your hands are clean before touching your new tattoo. Don't let anyone else touch it unless their hands are clean, ESPECIALLY children or pets. Your tattoo may itch and peel; if this happens, take some ointment/oil and rub it in with the flat of your fingers. Never scratch or pick at your tattoo!
Do not soak your new tattoo (in lakes, oceans, hot tubs, pools, bath-- NO CHLORINE) for 3 weeks. Brief showers are fine.
Keep your tattoo out of direct sunlight and the tanning booth for 1 month. Direct sunlight and tanning will fade any tattoo over time, so use sunscreen on your healed tattoo every time you're in the sun or keep your tattoo covered.
If your tattoo somehow gets infected, you can use a tiny bit of Neosporin on it to remove infection. But I do not recommend it for general healing, as it is for wounds, not abrasions like tattoos and may cause you to scar.
Remember, your tattoo has been applied for you in a clean and professional manner. But for it to heal down correctly and look good, proper aftercare is crucial.