If you want to use thin veneer plywood, check your local craft store. I found mine in the wooden hobby section.
Draw a bunny template on plywood or cardstock.
Cut bunny shapes with craft scissors.
Cut out as many bunnies as you need. Sand the edges with fine-grain sandpaper.
Grab as many tweezers as you have bunnies. The clothespins will balance and weigh the bunny to make it stand upright.
Apply a small dot of super glue to the ends of each clothespin.
Place the glued ends of a clothespin at the base of a bunny's head so that the flat side sits on the table. Hold until glue is dry.
Apply a coat of white craft paint to the front of the bunny. Let dry.
Fill the bunny ears with pink craft paint.
Write each guest's name on a circular piece of pink construction paper with a white gel pen. By using card stock, you can remove and change the name of the guest year after year.
Attach the cardboard to the bunny's head using double-sided tape.