Hello; I did this about six years ago. The fish were among the last things moved.
I was fortunate to have empty tanks on hand. I knew the move was comming so began to break down some excess tanks. I set up a fresh tank in the new house with fresh washed gravel and cleaned or new accessories and filled nearly to the top with fresh water. (I did not use any old tank water at all)
After I got the power turned on at the new place, I got the new tank filled and with the equipment running, some live plants and snails from an old setup, for several days before moving the fish. It took over two weeks for me to move all my stuff from one place to the other as I did it myself.
After becoming satisfied the new setup was running smoothly I put some beneficial bacteria (bb) media in a bucket of water from the old setup. I caught and bagged the fish much like when getting them from a fishstore. I transported the fish about an hour to the new house. I acclimated the fish much like when getting them from a fish store. I also took the step to not transfer any of the old tank water by pouring the fish and old water thru a fish net, only adding the fish to the new setup. (this is also what I do when getting fish from a fish store.)
After the fish were in the new setup i was left with going back to the old house and breaking down the old tanks and finishing my move. I had the leasure of several weeks to move and the new place being about an hour away.
good luck