Potatoes aren't frost-hardy. You can't winter-over the vines; any potatoes left in the ground will turn into black, slimy goo. If you want to save seed potatoes from your harvest each year, store them in a cool, dry place, the same way you'd store potatoes you're planning on eating. In spring, after the last frost, cut the seed potatoes into eyes, dust the cut surfaces with sulphur powder, and plant in your hills. The size of potatoes you'll get out of the hills depends on the variety you grow and the length of your growing season . . . the longer the season, the bigger the taters.
Chris Owens