Be aware that if you move a broody, she will automatically return to her old nest after a broody break unless she is confined to the new nest area. She is homed to the location of the old nest site rather than the eggs, so after you move her, the first few times she gets off the new nest for a broody break, she will forget/not realise that she has been relocated and will make a beeline for the old nest once she has eaten, pooped, dust bathed etc and settle on it even if there are no eggs there, leaving her eggs in the new nest to get cold.
To prevent this happening, fasten her in and either ensure that she has everything she needs within her enclosure or is she just has a nest, open it up for her to get off whilst you do chores and then guide her back to the new nest site when she is ready to return to her eggs or let her settle in the old nest and then move her back and fasten her in. After a few days, they normally learn to home in to the new site, but it is best to supervise. I do this whilst I am doing my chicken chores and then I know she is safely on her eggs when I leave until the next day.