I can't believe how similar your question is to a recent situation of mine. I JUST moved a 5.5 gallon TopFin aquarium with 50+ RCS and I want to make sure you don't make some of the mistakes that I made.
I emptied about 80% of the water, removed all ornaments, taped the top, left some plants to cling to, and then drove it to my new place. They did fine in the move, but I was concerned that they didn't have water to keep the filter running, so I had to add water from the new place. I then added water from my new place slowly to that tank and nearly all 50 of them died in the next week or two.
If I had to do it again, I'd keep that aquarium water in jugs and refill the tank back up, then slowly use the water in your new place to slowly acclimate them to your new water over a long period of time. Even if you're moving in the same city, the water supply may be drastically different. In my case, the water was hugely different and I shocked them bad. You might also want to check the tap water at your new place to be sure it's something RCS can survive in.
Since you're moving 4 hours away, I'm guessing you're driving. I drove my tank about 25 miles with the 5.5 gallon aquarium on the floor on the passenger's side, with a pillow stuffed in there to hold it in place. If you tape it with duct tape, the water won't splash out during the drive.