I suggest waiting until you’ve settled in for a bit. The pool building market is still crazy and there are serious delays in projects everywhere in AZ. Even if you could nail down a builder tomorrow, you wouldn’t see a pool, or even the beginnings of one, for 6 months or more.
Also, if you ain’t from here, I tell all noobs moving to AZ to wait before making any major decisions. It usually takes a couple of years for the “new resident” sheen to burn off (literally) and people either go all in for the desert life or they wind up absolutely HATING it. I always say it takes about three years for the noobs to know one way or the other. Year 3 for us was the decision point and it was almost our last.