We protect the dock and not the boat, when leaving and returning to our home port, there is no need to stow fenders, they are on the dock.
We carry an extra set (just like dock lines) for cruising.
These are simply stowed in the cockpit lazzarette when not in use. As soon as we leave a dock they are stowed and not left on deck anywhere. I prefer to leave the deck and cockpit free from as much clutter as possible.
Courtney is My Hero
If a man is to be obsessed by something, I suppose a boat is as good as anything, perhaps a bit better than most - E.B. White