When and how do I remove "mom?"

My cochin is sitting on her last egg out of 4 that I got from chickn (I don't have a roo) The other three were destroyed by the ? "jeolous" chickens!!! Two of which were feathered, with only 4 days left!!! So I am going to hopefully pick up a few chicks to sneak under her and but I want to move her to another coop!! I tried it once during the day, and she just about had a heart attack!!! So at day 20, today...should I move her this evening? Do I put her in a nesting "box" or leave her on the floor of the coop? thank you one and all

 

The coop that I will move mom And "?" to has wood shaves in it, and chicks eat wood shaves, so what should I do?

 

Day 22 and the one lonely chick hatched, the writing on the egg had worn off, but definitely is a bantam of some sort! So I moved mom, the new chick and the 2 week old chicks in to the muchkin coop. Boy was mom a wreck, she wanted out big time!!! After about 15-20 minutes she calmed down and all are snuggling!!! Now do I let mom out, or keep her penned up 24/7 and for how long? Will she remember where "the kids" are?
It's so much easier opening the box and putting them all under a light and far less stressful!