Keep that bandage on for 2-4 hours after you leave my studio. This gives your skin time to start its initial healing while staying protected from bacteria and debris.
Your first wash is important: Remove the bandage gently and wash your hands thoroughly. Using lukewarm water and unscented antibacterial soap, clean your tattoo with just your fingertips—no washcloths or scrubbing. Pat it dry with a clean paper towel, never a regular towel that might harbor bacteria.
Let it breathe after that first wash. Your tattoo needs air circulation to heal properly, so no rewrapping unless I've specifically told you otherwise.