If you're going to move them, put the chicks in your new nest, then put the hen next to them and let her do as she'd like (monitor her just in case, but she'll almost definitely get settled).
As of right now, if you move the chicks, the broodies will follow. I'd try to put them in a sectioned off area, whether that's in the main coop, the run (but make sure that they have a 'coop' of their own!) or in a separate coop or even in the house. You don't want to take the risk of chicks...