Yes very good point Flint!! You can use all new water 100% but acclimating them to both temp and PH is strongly advised. Your 2 cities can have very different water!! (I think if it were me, I would get that tank all set up and dechlor'd... then slowly add some of it's water in batches to the "fish bucket/tote" diluting down both temperature differences, PH differences and ammonia build up in the bucket. The Prime in the new tank water will take care of that too!) Thinking a drop(s) of Prime in the transfer bucket will help with Ammonia build up during the day too.
I wouldn't feed them the night before or the day of the move either! Once they are all moved in, lights out for rest and destressing and start a normal routine the next morning of lights and feeding. If you feel you need to feed them after they move in, then do so sparingly.