Perhaps you haven’t heard, but I am a big fan of the Sabco brand and love my mop. I have two because one was not living up to its part of the bargain (you can read about Mr Sabco Mop here).
What I love about the Sabco mop is that is can also fit other no name brand mop pads as well (ones that can purchased from bargain or $2 shops too). I have a few obviously and this is where I store mine.
Just use an over the door hanging system, some coat hangers, pegs and one scoobies strand!
Now they are just ‘hanging around’ instead of all over the laundry!