How far will you be moving? Will the water at the new place be different than it is at the current place, such as the hardness and ph?
I'm taking it that you are
fw? In any event, I'm going to assume that you are
fw and go from there. There is no need to transport any of the old water, simply set our tank up, add conditioned water, then acclimate your fish to it just as if you were bringing them in from the pet store.
Keep your filter material wet, but don't seal it in a bag so it can get
o2 to keep the bacteria alive, get it back on the tank ASAP (within 6 hours) so the bacteria don't starve and you won't have to recycle the tank completely.
Bag all the fish seperately, I reccomend using conditioned tap water, then using a drop or two of conditioner such as prime or ammo lock directly in the bag to neutralize any ammonia during transport instead of using tank water. Use a cooler, or a box insulated with a blanket or something to put the fish in after bagging to keep the temperature stable for the fish. I bagged my fish in double ziploc bags, in case one gets a leak there is always the other one
To save the rush to get the tank set up when you get to the new place, you can get an adequate size for your fish to be in temporarily rubber maid (or generic brand) plastic container and fill it up with conditioned water at the new place so when you get there you simply acclimate the fish to that, put the filter on it and heater if applicable and let your fish hang it in it until you get there tank set back up.