I agree, wait until you move.
When we went for the ortho, I took 3 kids to 4 different orthodontists for consultations. I was stunned when all 4 had different courses of treatment. Some wanted braces now, some wanted to wait. Some wanted to pull teeth, others did not. One wanted an expander, one wanted head gear and to create his own custom appliance. As you can imagine, the prices varied widely as well.
All these orthos have high reputations in my area and were recommended to me by friends who used them. None of them were "quacks."
I was extremely confused, so at my kids' dentist appointment, I asked her for opinions. Without naming names, I described the course of actions for each kid. I was willing to see different orthos for different kids if I had to. The dentist actually agreed with the same course of action for all 3 kids with the same ortho (remember, I didn't let her know what ortho said what) At the same time, she said none would have been a "wrong" decision, they were all just different.
So wait until you move. It isn't as simple as one ortho to put on braces and another to take them off. They each have their own way of doing things. You will essentially be starting over with the new guy, and waste all the money you paid starting off with the old guy.
BTW in terms of phase 1 & 2 vs braces all at once... one of my kids was to wait, the other got phase 1 & 2 (same ortho) Actually the Phase 1 & 2 kid will be cheaper than the all at once kid. And the price is spread out. $1500 now and $2000 later at phase 2. Compared to the all in one kid at $4200, that is quite a bargain! Kid #3 had a tooth that would not come down on its own and required oral surgery (bracket & chain) to force it down. This meant braces earlier than planned.
I guess my point is, don't dismiss phase 1 & 2 as an automatic rip off either.