I don’t think the area they are in is predator proof, so cardboard boxes wouldn’t do. Though a small wire cage like this is also insufficient... As much as I dislike having chickens in the house, some large moving boxes with a wire screen on top (we use part of an xpen) is really the easiest solution to brooding. Or a coop with a heating pad, but we don’t have electricity out by the coop. I would brood in the house until feathered, keeping them on the cool side to speed things up, and then put them in the coop asap...