Prepare a sturdy shipping box of a suitable size that can accommodate the quilt. The ideal box would be one that is large enough such that you minimize the amount of times the quilt has to be folded to fit in. It should also be high enough that you don’t have to force the quilt down to close the lid.
Wrap the folded quilt in a cotton sheet or pillow case to protect the fabric. Then, wrap it in plastic sheeting to protect it from moisture and dirt.
Place the wrapped quilt inside the box. If there are spaces, you may want to fill the void with packing materials such as shredded paper or packing peanuts just to prevent the quilt from moving around in the box during transit.
Place a piece of cardboard on top of the quilt before closing the box shut. This will protect the quilt from accidental damage if a knife is used to open the box. Seal the box with packaging tape. It is a good idea to also tape and secure the bottom flaps to make sure that they won’t flop open during transport.
Address and label the package clearly and visibly. Take it to a shipping company or your local post office. Pick the fastest option possible like express delivery so that it will spend less time in storage and transit and hence have less chance of being damaged.