Store your huggers flat and stacked like with like (outside piece lined up perfectly on other outside pieces, and same for the inside pieces).
Huggers have awesome self-healing powers. They are not indestructible, but if they have dents or bends, usually storing them with something flat and heavy on top of them (like a stack of other huggers!) and/or making sure they are warm will get them behaving again.
If your huggers aren't hugging the bucket as much as you'd like, use your hands to put a little heat on them and push them onto the sides of the bucket. Usually this is all it takes! Adding heat from a space heater can make a big difference as well.