Hi hispoptart
there are several variables there. What will be familiar in the new location....same coop, same feed, same people caring for them?
I have a small set-up that is kind of like a tractor. I actually hauled my lot to a place about 12 miles away. Set up at that location.....and they haven't missed a beat. (well, two had laid before I packed them off, and two more laid at the new location, and then two laid today already.....just like normal) I have moved them around the yard whenever I wanted fresh grass -- so they are kind of 1/3 gypsy.
Here's what I think, their coop and environs (I have attached runs) were the same, the feed was the same, I was there yesterday, this morning and tonight---- and so there isn't much shocking change in their life. If they are used to you, their routine, the coop, the feed etc. then they shouldn't have the trauma of being moved to completely new and unfamiliar surroundings.
Post back after the move, and see if they have taken it all in stride and there isn't a big break in their laying.