What type of lipo to tighten my skin? 39 with mild loose skin from rapid (not massive) weight loss.

Frequently, subtle differences in anatomy can make one procedure better than another for that individual.  Photos or an exam are critical for these determinations.

Hard to advise without photos. Liposuction is ideal for well defined areas of fat unaffected by diet and exercise. Tummytuck addresses redundant skin and fat and also tightens stretched abdominal wall muscles after pregnancy.  Sounds like liposuction alone may leave you dissatisfied. Consult with a board certified plastic surgeon to assist with your decision.