Sounds great. I am familiar with Contact paper, but not adhesive-based fabric. Is it sold by the yard, or in a package? I'd like to find it. Best wishes 😇

ONE WAY is to plan ahead. Instead of opening the diaper box by the flaps, measure down three inches from the top, making little dots every three inches. Use a pencil to draw a vertical line through all the dots. Then use a box cutter or pair of heavy scissors to carefully cut the top off the box Following the pencil line. Keep the top separate. (Now, either wait until you use all the diapers, or remove the diapers from the box.) On the base of the box, near each top corner, cut down about three inches. This will allow all four sides to bend in slightly. Now paint, paper, or paste the base, and then the top, to please yourself. The top should fit the box just fine.

EVEN SIMPLER, don't open the diaper box. Use a box cutter or strong scissors to cut THREE sides of the box top. Use Duck tape or binding tape to hold all of the flaps together on top. Use Duck or binding tape to reinforce the side of the top you did not cut. Open the lid and reinforce the lid on the inside.

Whichever method you used to make a lid, you can use the packs of diapers out of the box, or you can stack the diapers elsewhere and finish your decorated storage box. Best wishes😇