It's been 10 years since I did this, but when I moved from East Coast to West, and my cats as well as the contents of my house (!!), we rented a van and set up an exercise pen (the kind you may have seen that comes with two shelves, stands about 4 feet tall, when not in use it the walls fold down and can be detached from the base), with a litter pan and water/food bowls. Mistake on the water and food - didn't get used when moving and they simply knocked them, but the litterboxes were used.
I had toys, a regular carrier also available in case someone seemed too freaked out by "seeing/hearing" too much, I could just pop them in there for a bit.
For the hotel's at night, had toys, treats, food - always check bathroom's for any under the sink openings, and check under the bed to see if they can possibly get up under into the box springs or not.
If a van is out of the question, but you have room to use a dog size crate, that allows them to have a bed/towel, some toys and to stretch out - also consider having a sheet to cover over (a for too much sunshine and b as I swear like birds, it can calm them if they can't see what is happening).
My guys handled it all very very well. In their new home, we just let them explore - made sure they knew where litter box and food/water was...but I agree that just one room might be the best way to get them to settle down and settle in.
Good luck..nothing like packing "picnic lunch" for cats on a cross country trip
ps I also brought water from home so no one would get the trots during travel - brought a couple of gallon containers of water.