Dahlias grow from tubers, usually a clump of several attached together...they are shaped sort of like long
potatoes. When it's time to dig them up, just remove the soil from the tuber clump and cut back the foliage, leaving about an inch or two. Store them in a cool (not cold) dry place (wrap them in newspaper). Every few weeks check to make sure they aren't shrivelling from being too dry. You can spritz them with a little water if so.