If your fabric is thin, prepare the metal tins by paint them with white craft or spray paint. This is so the tin design doesn't show through the fabric.
Prepare your fabric with Mod Podge. This will make it easier to cut without fraying, and easier to apply to the container smoothly. Simply paint a medium coat of Mod Podge on the fabric and let dry.
Once the fabric is dry, cut one edge to be straight. You will use this as your reference to line up with one edge of the container.
Place your fabric on the cookie tin and measure where you need to cut at the top. Use a ruler if necessary. Cut the fabric to fit the container.
Place a medium layer of Mod Podge on the container and then carefully wrap the fabric around, smoothing as you go. Let it dry for 15 - 20 minutes.
Paint several coats on the outside of the tin to seal.
Place the lid flat onto the back of the fabric and trace with a pencil. Now you have a circle on the fabric. Cut about 1/2" extra around the circle on the outside - so you are cutting a larger circle than you traced.
Mod Podge the circle to the top. and then cut tabs into the overhanging fabric with scissors. Fold the tabs down and Mod Podge into place. Trim as needed.
Add ribbon to the rims of the lids using craft glue. Add buttons as accents if you like. Let dry before using.
Video
Notes
This project ranges in price - I had all the materials on hand and the tins were recycled.