You don’t need to bring much, really:) you need clothes for yourself and baby to go home with, essentially. The stuff both of you need while you’re there are provided for (part of your bill). You may want to bring a nursing bra, nursing pads, nursing pillow, your phone, on top of your IC and delivery documents.
Was there as a subsidized patient last July. Baby diapers, maternity pads and disposable underwears are provided (well, not free). Baby will be swaddled too so you'd only need your own swaddle to go home.