Fold the clothes you plan to pack. Include soft cotton clothing with no buttons or zippers, like t-shirts or sweat pants.
Lay any items that could snag your elastic headband on the bottom of your suitcase.
Cover the items with soft clothing.
Place your elastic headbands in a small case to keep them all together.
Lay the case containing the elastic headbands on top of the soft clothing.
Pack another layer of soft, button- and zipper-free clothing on top of the headbands.