This may not be the best way to do it, but I've frequently waited until move day to pck my dishes. Alternatively, I've also left the box I pack my dishes and cups in open so I just have to wrap and tuck the stuff left out into the box. It means they can all stay together and I can still pack most of it ahead of time.
We're gearing up to move, so I'm totally going to follow this and see what tips are suggested! Our moves have been chaotic in the past, so we're always open for good suggestions!