I just responded to another thread on here asking about a plastic surgeon in another state.
You should start by making a shortlist of what doctors you think are good or appear to be. Then research each of them. Check their medical license, how long they've been in practice, and what their board certifications are. That's a good place to start. My sister used to live in Phoenix and she said that plastic surgery was big there in some parts of the state because a lot of wealthy retirees go there to live out there golden years. So you should be able to find plenty Arizona liposuction doctors. Once you have some names report back here and I'll check them out!