Fixing Uneven Lips without filler? (Photo)

Hi I was born with big pouty lips but the top is very uneven. Highlighted more dramatically in photos. I can’t use fillers. My body metabolizes fillers and Botox in a couple weeks. What is a permanent solution for this? Would a lip lift be minor surgery? Does it open mouth more for more teeth exposure. If I am planing to have my teeth fixed with some Veneers should I wait till that is done? Help!