Congrats on building your new home!! :) It's good that you've taken the precaution not to be without a home while you sell. :)
When I lived near my folks, my son's daycare used to be a few blocks from my old apartment, and my parents' house. He knew (even at a year and a half) that we were near Nonna and Nonno's house (my folks) and would ask to see them every evening. We moved about 10 miles away after we completed our lease, and he still asked about them at dinner time (when he'd normally see them). I let him call them at supper time or bed time, whenever he wanted to talk. After a few weeks, we let it slip till just bedtime for saying good-night.
All I can say is keep a positive attitude about your new home. Let your enthusiasm for your new house carry over into all aspects of her life. Even though she's young, let her pick out her new curtains or paint color for her room; or sheets, stuffed animals, or a new pair of pajamas. When she does, let her call your parents to say "Hey Nana, look what I just got!!". It gives her a form of control over a new atmosphere, and you get to have the joy of watching her make her new home her own. :)
Congrats again on finding your Dream Home! :)