I just packed a coming home outfit and a warm blanket. Because in my hospital they have diaper, wipes and more.

i packed three onesies and swaddeling blankets and depending on where you are id pack a thicker blanket to go over the car seat! The hospital should provide everything else

Coming home outfit, outfit to take pictures in, and a comfy onesie. Maybe wipes if you're having a girl, or boy and not circumcizing. Everything else the hospital has.. Diapers, formula, shampoo/lotion, shirts, wash cloths, etc