When I have moved mine, I move them to a small cage after I have made a nest area in the cage for her. Once she has hatched all of the eggs I usually moved her to another bigger secured area untill all of the babies are big enough to follow her safely. These are banties and the reason I moved them in the first place was this hen would take off free ranging before the last of the batch was strong enough to follow her. She did not abandon the eggs ever but I suppose all hens have their own personalities. Another thing I did was make a temporary cage around her existing nest. That worked well also.