Here is something I wish I had found last spring. This multipurpose broom and mop holder with hooks is just $10 from Amazon. It holds five items and has six hooks for rags or whatever else.
Compare that with the Mop Holder from Command that I bought at Target last spring for $8.99 . Hold up one thing for $8.99 or 5 plus 6 hooks for just $10? I think the answer is clear!