Tillie, the Corgi, loves the baby bunnies!  As an experienced "mom" she takes on the duty of nanny for any kits in the house.
Nest-tubs stack easily for carrying.  They are lightweight, easy to clean and store and are well accepted by the does.
Nest-tubs are zip-tied in place, initially, to prevent the doe from tipping it over.  Later the weight of the kits will keep it stable.  Gypsum drywall can be cut to fit the bottom of the tub for added weight, insulation and absorbency.  Nest-tubs work with drop nests also, as shown in the center photo.