I would not add prime unless you need it. Your fish do not produce a huge bio load so that is good. I would do the following steps. There may be others that want to add to this.
1) make sure you have plenty of new saltwater mixed up and heated.
2) move most of the water in your current tank to the new tank.
3) move the rocks and be careful to not disturb the sand too much.
4) catch the fish and move them over
5) discard the remaining dirty water in your tank.
6) you can choose to keep the sand but make sure to rinse it well to get all the junk out. If you have new sand I would put it in the new tank before adding the tank water.
7) top off your new tank with the new saltwater.
8) test your water for ammonia every day for the first 3-4 days and make sure that levels are undetectable or close to undetectable. Fix ammonia problems with water changes as needed. But you should be ok