What is the Best Way to Get Cats Through Transtion After the Move?

Same way kids will not be happy about leaving a place they're used to, cats will have similar feelings. When moving, therefore, to lessen that trauma, keep your cat in a sealed, well-ventilated carrier of some sort.

Once you get to your new home, if there's is a room [doesn't matter if it's a bedroom] that you can lock most of the time, confine the cat to that room for about one week. That should be enough time for the cat to adjust to the new environment.

Once the one week is done, release the cat from the confinement room but ensure all exits [doors, windows and so on] are shut. The cat must then for the next one week get used to it's new home.

After that, let the cat roam free. . .