my recent routine to customers has been:
-take bandage off 1-2 hours after getting tattooed
-wash with warm/hot water and antibacterial soap to open up the pores and let out excess blood/plasma, then rinse with a cool/cold water to close the pores
-let air dry then apply THIN layer of aquaphor or preferred ointment (a&d, tattoo goo, h2ocean...whatever works for ya)
I dont recommend re-covering/bandaging as the tattoo tends to be swollen/irritated after and with the warmth/blood/plasma could potentially be a bacteria breeding ground.....but everyone has their way!