When getting ready to move and take your invisible fence with you, there are important steps to take to do it properly.
Take the collar off of your dog and shut it off. Unplug the transmitter from the outlet and store it carefully with the adapter cord. Find the perimeter where you buried the invisible fence wire and carefully dig it up without breaking or crimping the wire. It should be buried only 1-2 inches below the surface, so it's easy to remove. Coil the wire up carefully without tangling it and store it in a bag that will keep it clean and tangle-free so you can uncoil and reinstall it in the new yard.
After those simple steps, your invisible fence will be all packed up and ready to move to your next destination.