Hey carriej - congrats on the new house!
So far in my hobby lifespan, I have had to move an aquarium three times, but this last time meant that I also went from well water to city water. I did not lose any fish, short of one who jumped out while I wasn't looking, because I simply acclimated the fish to the tank after it was set up again. If you think about it, this is almost the exact same thing as if you were to go into the city to buy fish and then bring them back to a place which uses well water so I wouldn't panic, but I do think it is great that you have thought ahead this far already.
Otherwise, if you really wanted to play it safe and have the ability to do so, perhaps you could simply run over to the new house, pick up a couple gallons of water, and then perform a few, small water changes before the move. This way you can have greater control over how much time your fish have to acclimate themselves to any changes. However, if you cannot do that, I still think acclimating them as if they were brand new fish is probably going to work just fine. I would definitely use the tips/tactics for acclimation that you can read by clicking
HERE. Even though the wording may make it sounds as though it is speaking mostly about saltwater livestock, all of the same rules do apply to FW livestock as well. In short, I would do anything you can to keep stress to a minimum, including giving your fish an easier time of adjusting to water chemistry.