Just adding my routine for no real reason...
Leave the plastic wrap on until the evening, and then take it off in the shower. Don't spray high-pressure water directly on it, obviously, and usually I'll put soap on a part of the body north of the tattoo, and then lightly rub the soap in with my hand.
Get out of the shower, and let it drip dry, or pat it dry with a clean towel. I usually sit around for an hour or so before I do anything else. Then I put a THIN layer of Aquaphor on it. Before I go to sleep, I wrap it lightly in plastic wrap, just for the first night. Then I remove that plastic in the shower the next day, put on Aquaphor, and then do my best to keep it clean during the day, wear loose clothing over it, etc...
Then at night I shower (so I'll shower twice in one day for the first few days of a new tattoo, even if I normally only shower once a day), and then more Aquaphor before bed. So in total I put Aquaphor on it twice a day for 3 days. After that I use unscented Lubriderm. I apply it more liberally than I would with Aquaphor, as it "evaporates" quicker. I do this for about 2 weeks, even if it seems to me that the tattoo is basically healed. And... that's it! Never had any problems with this method.