Display your scarves so you’ll actually wear them. Being able to see them also helps you choose the right one, the scarf that creates the most chic outfit.
I like the over-the-door hanger. It has 12 hooks, but as you can see by the photo here, I put two scarves (one to the right and one to the left) on each top hook and then put one scarf on the bottom hook, which ends up being right in the middle. That way, I get a view of all 18.
If you have more scarves than that, store the ones you typically wear in fall/winter and just display your spring/summer and lighter weight scarves for now. Urban Outfitters sells a similar over-the-door hook for $19.