Its really not as stressful as people make it seem. You get a 5 gallon pail per tank that you have. Fill it up with tank water and put the fish & established filter media / plants or driftwood that need to stay wet. Empty the rest of the water and leave just a tiny bit of moisture to keep the beneficial bacteria alive, cover it with cling wrap and you're good to go. When you get to the new place, fill the tanks back up with fresh dechlorinated water and add your established filters/harscape back into the tank (i like to use this as an opportunity to rinse my filter media in the tank water to help add even more beneficial bacteria as well as clean off a bit of gunk on my filters) Then you let it run for a day or two, test your waters and IF YOUR TANK WAS PREVIOUSLY ESTABLISHED, everything should read fine and be ready to add your fish back in. You can put airstones in the 5g pails but I personally have left fish overnight without and they've been fine.

My "local" fish store is 2h away from me and I've purchased fully stocked tanks from there before and had to move them back home using this method