Usually it is best to move them earlier - this far along she may or may not be happy with a move. I think the odds are good it will be ok, especially if you do it when it is getting dark so she settles down easily. Don't handle the eggs more than you have to.
You could also wait to move her til after hatch - just have an area set up, best if it is in the coop in visual contact with the flock. Wait til you are sure the hatch is finished, and then move chicks and momma to the new area.
When a broody goes broody it is usually in a regular nest. I prepare an area that I want her to be in - you can usually block off an area right in the coop with creative use of chicken wire - make a nest, then move the eggs, and then put the broody in front of the new nest. Broody just hops on the new nest. This way, you protect the broody from interference from other hens who might want to be in the same nest.
It is best if you can keep the broody in view of the other hens, so there is no integration problems when she rejoins the flock.
It is true, that a sort-of-broody hen will give up right away, but I usually spend a few days removing the broody from her nest and taking her outside. If she is insistent on brooding, she will keep returning. Then you know she is serious, and you will either need to let her sit on eggs or break her of her broodiness. So I wait a few days before setting up broody quarters for her.
You can put a cardboard box, or crate in the area for her nest, and semi-drape it with a towel so she has a quiet area to be in. Not necessary, but it is what I do.
Edited by lalaland - 4/29/16 at 5:28am