Will be fine except for the fact that NY has no escalators. Elevators are scarce. The subway is ancient an of such incredibly poor comfort (they really need to upgrade it. A true embarrassment that no dedicated airport train exists from the main stations.) I would recommend steeling your self for that more than or the possible inconvenience to others wit the bags. The station ticket gates have a door adjacent for wheelchairs etc. and you can use that by putting your ticket in the immediately adjacent ticket barrier, retrieve your ticket and then just open the door and use that.