I break them both down, if I use them both, and on the basket of the one I use a toilet bowl brush with HOT water and dish soap then after rinsed I bag it up and when I break it back out again I do a bleach solution and HOT water then rinse well and air dry, then use.
If I loan them out I expect them to be clean when they return, since that is how they left. Otherwise that person(s) don't get to use it again. I had one returned dirty, including dirt with wax and honey.
Oh yeah. The toilet bowl brush is new and never used on a toilet.