Hi S.. We're military, and we've moved 6 times in our almost 13 year marriage. If there was an "easy" way to move, I think it would be the way you're going to do it. It allows your daughter time to warm up to the new house. Some people may like to do things cold turkey, but with some kid's personalities, that can be disastrous. And moving can be very traumatic for a child, but you would expect that with older kids. Just like with anything else, talk it up like it's an exciting adventure. If your daughter picks up on your dread (let's face it, moving is not fun) you may have an inconsolable kid on your hands.
Try to find things for your daughter to do to help settle in: arrange stuffed animals, "put away" tupperware, "put away" a box of towels, etc. to help her feel ownership of the new house. Any busy work that keeps her out of the boxes is the goal, even if it's something that you tidy up later. A wad of dishcloths get used up just the same as a neatly folded stack (although that was a tough one for me to swallow!).
Good luck and try to stay sane!
J.
PS- Try to use the grill as much as possible until you settle in. No pots, no pans, no hot house. You can put veggies and potatoes in one of those disposable metal pans and put foil on top= No cleanup.