Fold each cord up compactly and slip it into an empty toilet paper roll. A paper towel roll can be used for larger cords if necessary. This keeps the cords separated if you need to store all of the appliances together, such as in a drawer or on a small vanity.
Fold each cord back and forth and tie a twist tie around the center of the bundle. Save twist ties from bread loaves and spend nothing to keep cords neatly stored and easy to use.
Install hooks on the side of your dresser or vanity on which to hang your appliances. This keeps them out of the way if you don't have much counter space, and it keeps the items separated so there is no risk of getting the cords tangled up.