I don't know about your house, but in my house, the potato is a staple of our diet. Late in the winter I had a few which were sprouting so I decided to try growing them. I lined inexpensive laundry baskets with gardener's cloth and filled them half-full with potting soil. I cut the potatoes into chunks with a sprouted eye in each. (You can let them dry a bit.) Plant four of each "eyes" around the edge of each basket. Keep moist but not soggy in a warm sunny place.
They should begin sprouting in a few weeks.
Once they've grown about six inches above the top of the basket, fill the basket to the rim with more potting soil. Keep moist and in a sunny spot. Each basket should produce about 8 pounds of potatoes, I'm told. What fun!
Update! Here's the crop:
Not bad for a first try! The potatoes ranged from marble-sized to about 3 inches. I'm really excited about the next try!