I agree with everyone on keeping her in the crib until she starts climbing out! It will make your life so much easier! We had to move our daughter to a toddler bed around age 3, when she started climbing out, and life has not been the same since! Now that she has her "freedom", it's so much harder to get her to go to bed, to keep her in bed, and to keep her from getting up so early! So definitely keep her in there!
As for moving, we also just moved, after our daughter turned 3. We just tried to make it sound like an adventure, we explained that the movers were packing everything up in special boxes. We tried to keep her away as much as possible while the move was going on, she wasn't too happy to see things being packed up. Make sure she gets to hang onto a few things that are special to her, that don't get packed up.
Good luck with the move!