It is to late to move her without extremely stressing her. I made the mistake of moving one late and it turned out bad. If I plan to bring a doe in I always do it 10 days before their due date. That way they can get use to home life before the babies are ready.
Just check on her often but do not bother her. Going out and simply looking in the cage at her/the box is enough.
My does never next more then 9 hours before having them, 98% of the time they right right before birthing. Do not stress if she is not nesting yet. I have even had them nest after birthing. One breeder I use to talk to said they does never pulled fur for their babies and waited two days before feeding on adverage so it all depends. Even if she does not nest she may feed them. Just keep watch.