Simplicity at its best.
Towels of an appropriate size will prevent any staining while dilating. When you have finished the towels can be washed separately and hence can then be used repeatedly. If you wish you can soak them in an appropriate solution then wash.
Yes K8, there is nothing wrong with what you are doing, what you described is basically what I did when cleaning my dilator before and after dilation. The things I used were simple and basic, towels, soap, washing detergent, wet stuff (500g water based lubricant) in a pump bottle and that was it.
What is being done now or described is simply overkill in my opinion . I just used simple basic hygiene methods after I had my surgery, washed my hands and equipment before and after dilation.
Kind regards
Sarah B