everyone seems to be using the pool noodle's for things like this. they put them on the corners of their bedroom slides to keep from gashing your head open if you accidentally run into them.
I would think you could cut them into smaller pieces and place them over your spouts.
You could hold the noodles in place with that plastic shrink wrap you get in moving supplies section. Home Depot and U-haul carry the hand held type on a roll...it can be clear in color or green. It is like cellophane, but really grabs. I would thing putting the noodle around your spout and then wrapping it a couple of times will prevent it from tearing your cover when you are in storage mode.
Good Luck... Let me know if this works for you.