Our three cats are experienced movers. We made a 9 hour move with Saphirah. We had a litter box in the car for her, and she was able to go in and out of her carrier. She actually spent most of her time in the carrier. We also took a leash and harness for "pit stops." She never actually used the litter box until we arrived in Atlanta. My sister made the same move with her cat, except she stayed in the carrier the whole way (with the exception of stops on the leash). Again, she didn't use the litter box until the trip was over. Neither one was any worse for wear. We were actually quite surprised both times. If your drive is only 2 hours, she should be fine, unless she gets nervous in the car. (We have one kitty who gets car sick, so we take up the food the night before the move and feed them when we arrive. They aren't happy about it, but it prevents problems later.)

On our moves, we have generally isolated the cats to a bathroom with their litter box, food, and water, and have made it clear to the movers NOT to go in that room. It has worked well for us. We have let them out to explore as soon as the movers cleared out. After a day or two, they will own the new house.