We moved when my son was 3.5 and my daughter was 20 months. By the time we actually moved, we were so stressed out it was unbelievable. (We sold one house and bought this one, but the buyers of our old house had a terrible time getting their documents in order for financing at the end; they probably had no business buying a house.) Anyway, we moved 2 weeks later than we were supposed to by the time the closing got pushed back half a million times. LOL.
Anyway, my daugther was completely fine with the move. At that age, it's all about them and so as long as she got to do fun things she was happy as a clam. For her, plaing in the mud at the "new house" fit the bill. She adjusted with no problems at all.
My son was a bit more challenged. He wasn't unhappy here, but he didn't get what happened to the old house. He wanted to move back there; he thought it was lonely with us here. LOL! The new house needed a lot of renovations (hubby's a carpenter, that's what we do) and we'd rehabbed the old one so it was very nice...he kept asking why did we move into this "yucky house".
ITA that if YOU relax and make this no big deal, so will she. If you are particularly worried about her being upset that say, Daddy couldn't find her because you moved, ask him to be around so that she knows he knows where she is.
Good luck and I am very sorry about your divorce.