I found shower curtain rings at a local store that were on clearance for $.75 for a package of 12, I bought two. Then I bought an inexpensive curtain rod for around $3.
With the help of my husband (Mr. M) I hung the curtain rod on an empty wall in our bedroom. I then placed the shower curtain rings on the rod. The rings are "C" shaped, which makes it really easy to hang up and remove scarves.
Not only does this project organize my scarves and keeps them from having ugly creases; it also adds a little "artwork" and color to our room.