Paint the outside of the cups using poster paint or acrylic paint. Acrylic paint is best used if the cups are glossy or waxy.
If you want to completely hide all the print and text on the cups, paint the cups with white paint, once the paint dries, paint with the final color. Red and yellow are popular colors for a Chinese dragon but you can always choose any color you like.
Print out this dragon head on A4 or Letter size cardstock. You can also draw your own. The head should be slightly bigger than your paper cup's mouth.
Color and cut out the dragon's head.