Moving states late in pregnancy

So I am currently 17 weeks and living in Central Oregon and I'm due November 4th. My boyfriend and I are planning on moving to Arizona in september, he currently works for a caddy company but they close down in the winter because of all the snow we get. He would have to get a job in a different field of we stayed here, so we want to move because he would be able to get a good paying job and the cost of living would be way cheaper! The only thing I am hesitant about it moving out of state that late in my pregnancy. I've heard some doctors won't see new patients if they are far along but I don't know if that's true or what the exceptions are.. I plan to call doctors offices there pretty soon and ask them about it but to anybody who has insight or has moved late in a pregnancy, I would love to hear your input!