Take a diaper and place it on a surface. Roll it tightly, and wrap a rubber band over it. Repeat the same process with 5 to 6 diapers, and then use the diapers to create a wheel. For that purpose, you can scrunch them together, and wrap a large rubber band around them.
Now take a wide ribbon and cut it in the same size of the circumference of the wheel you just created. Now use hot glue gun to glue the ribbon over the rubber band over the wheel. It will hide the rubber band, while adding beauty to the wheel. Repeat the whole process three times, in order to create three more wheels for the diaper carriage.
Set all the diaper wheels over the table and place a woven basket over them. Make sure that the wheels should be placed under each corner of the basket. Wrap one wheel using the same ribbon which you used earlier and poke the ends through the bottom of the basket, in order to secure the wheel. Tie the ribbon in a knot present in the basket. Repeat the same process for each wheel.
To create the back side of the carriage, you can prop a book up and glue it to put in place. Now use a piece of swaddle cloth to cover the entire basket and the book. Make sure you tuck the edges of the cloth inside the basket.
Now you can drape a thick, plastic bib over the book, in a bid to create a decent cover for the carriage. You can then place a stuffed toy in the carriage, and any other accessory you would like to be a part of your gift.