Neal, It's best to grow some for new potatoes during the summer, and leave some for late fall harvest after the plant dies back. When you dig them you should take all of the potatoes from that hill, otherwise they may begin to grow into plants. Some people grow them under mulch and just reach in under the mulch and grab some off, but I have never tried that method. I like to build up a nice hill around them, they seem to produce more potatoes that way.