Hair Appliance holsters: Use hook-and-loop tape to attach lengths of diameter PVC pipe to the vanity door to hold the curling irons. Do the same thing with pieces of pipe to hold the cords. Let your curling irons cool before you stow them away.
Plant holders make great hair styling supply holders. Instead of hanging plants in them, you just mount them to the wall and put your blow dryer, curling iron and other hair supplies inside 30 Brilliant Bathroom Organization and Storage DIY Solutions