I never move our broody, she does her own thing, gets off nest to eat, drink, potty and then goes back. I've had to move her from nest to nest due to another hen trying to lay on her nest but I've "messed" handled our girls since they were hackings and they don't mind me petting holding or...
Search Broody Hen Hatching, and that should pull up more searches.
For our Broody who hatched eggs(the first time, she's sitting again) we sort of just followed her. We blocked them off from flock for about a week due to weather with grate panels so the flock could see them, and then Mama took...