Originally Posted by
Hersir
As a surgeon I'd agree on staying away from Neosporin. It drives antibiotic resistance and it's not needed in the vascularized areas of the face.
Clean it with ordinary soap and water. Add steristrip if it's a large cut (unless it's big enough to suture). Keep it moist by using a salve bandage and don't touch it unless needed. The best band aids works just like a scab with a protective shell and keeps the wound wet to facilitate healing.
Swap bandages when dirty and wet it loose to make it as atraumatic as possible. Stay away from direct sunlight and/or use a good sunblock.