First, how long is the drive to your new house? What size is your tank?
What fish are in it?
If it is over an hour, I suggest you empty the tank. You put the fish into bags and then put that bag in another empty bag. Place them in some sort of cooler with heat packs. Empty the gravel into a bucket with some tank water and place the filter in the tank water. You might be able to save some of the bacteria.
If it is only a short drive, unplug your filter, heater, etc. and bag your fish like i stated above. empty the tank halfway and place it into the truck, van, car, whatever with the filter lying down in it.
Anyways, this is how my friend moved his.