I did a post last year here about different ways to hang your scarves. I've been using a different method for a while now though. This 3 tier over door towel rack from Argos I've found is really useful. Although it's meant to hang in your bathroom, I've hooked mine over my bedroom door. I hang three scarves on each tier, so nine in total; these being the ones that I'm using most at the moment. The rest I store on these trouser hangers in my wardrobe.
It's a really easy and convenient way to display scarves so you won't forget you've got them, and no ironing needed! How do you hang yours?