I decided to use a wall-hung Ikea magazine rack that my friend Karen gave me. In the last house I used it to store hand towels in the airing cupboard, hung inside the door. It looks like this:

I removed the fabric inserts and hung it on the bedroom wall, then fastened my jewellery onto it:


My rings are hung at the top on paper clips (yes, the top bar is skew - I've tried to bend it straight but I'm afraid of breaking it.)

My bracelets are at the bottom:

It works and is almost like a piece of art on the wall. I love solutions that use what I already have!