We moved not a real long distance (about 3-1/2 hours) when we had a cat. Our plan was to sedate her. Our vet gave us medication that we could give her. However, we couldn't get that cat to take the pill to save our lives. So we wound up just catching her and shoving her in her carrier. She wound up riding in the carrier without saying a peep the whole trip, but she was probably so traumatized she couldn't speak. You're moving farther than that though. Do you have to spend the night somewhere, because that would be tough. I would talk to your vet and see what they suggest.
When you get to your new place, let the cat out in a very small area first so they can get used to the change slowly.
Please disregard if you don't have a cat

I thought I remembered reading about your cats.