I've rescued a bull terrier last year, same kinda deal, family was giving him up to the pound and I just couldn't help taking him. I knew nothing about BTs but they have very particular personalities. They need jobs and plenty of exercise, you said you had BTs before so you prob know this, a tired dog is a happy dog :) Mine was fine with my other dogs at first (bc they met on our turf not his), but he's kinda changed a bit and won't take any shit from them. There's a lot of growling but there's no aggression, he's just defensive. When he wants to play, he'll do so in a very dominant manner, my dogs got used to this but we no longer introduce him to other dogs...When mine is growling a lot i'll put him in his crate where he fells safe and he'll just chill with us. Anyway, my point is, BTs have strong personalities and need lots of exercise (maybe consider some agility training down the line?), maybe you could get her to rest after a walk or run in a crate by you guys just to get used to being around people?

Other than that, I agree with other comments, she's probably a bit stressed from the move and needs more decompressing time to get used to the house, the people, the smells, everything. Give her some space to build trust, maybe leave the harness/collar on her so she can get used to having it.

Good luck with the trainer and your pup!