How to move mattress?

Moving from one apartment to another next month. New place is 5 streets away in Upper West Side. So not far enough to take uber or rent a car (I don’t have a car). Bed is full size. Have frame also. But frame is foldable and can be put in box and carried with the help of a friend. But I have no idea how to transport the mattress.

It is not easy to hold, is heavy and is quite big in size. Any budget friendly option that I can use?