Hello,
It is natural to be concerned about making any major change with your kitties, but they are amazing little creatures and will probably surprise you with how well they make the trip.

Last spring I moved from north central West Virginia to southeastern North Carolina, an eight hour trip. My two beautiful girls were real troupers. A couple of days before the movers came, I opened up their carriers and let them explore. Zöe fell asleep in hers.
On the day of the big trip, I put some of my shirts and other clothes from the laundry in the carriers, along with a little food and a small water dish. The carriers were strapped in with seat belts and off we went on our new adventure.

Each time I stopped I would check on the girls, talk to them and make sure they were comfortable. I talked to them the whole trip and we sang along with the radio. They both slept most of the way. Toward the end of the trip, Phoebe started to fuss, but nothing major.

When I got to our new home, I put the girls in the empty house with litter boxes, familiar toys, food , and water and let them explore.
By the time the movers got there, they were at home and loved the new place.