First of all, she is insanely adorable! Secondly, may I ask why you are letting her go? If your new place doesn't allow pets, can't you find a place that does? Sometimes you just need to make a little bit more efforts to take care of your pet.
It's great that you are trying to find a good home for your pet, you sound like a responsible owner and a loving parent, can't you find other ways to keep her?