If you don't have the space for potatoes, at least try potatoes in a pot.   The way Graham told me it works -

• Get a big drum or barrel; arrange the drainage, holes in the bottom and stones, like a flower pot.
• Fill the bottom with 12 inches of compost, or soil, and plant two or three chitted potatoes.
• When the potatoes have grown to six inches, add another layer of soil or compost.   Keep earthing them up, and the foliage will keep growing to keep its head above the soil.   Underground the stalk will produce tubers all the way up the rising soil.
• Potatoes grown this way will need a lot of water and feeding.
• Come harvest time, tip the lot over, and out will roll a barrel-load of beautiful new potatoes.