@TMH , hello, my OH has accidents on the bathroom floor. Usually as I'm pulling the pull up down . I have puppy pads on the floor around the toilet. I cut the shape of the toilet out so it fits like a traditional toilet mat. I can then just pick up the pad and throw it away in a nappy bag.
I have a backpack that I hang on the back of my oh wheelchair with a clean pair of trousers, no rinse cleaning product and large dry wipes. As you say ,the sort if things you take with a young family.
If you haven't already got one I suggest the radar key is a must . X