I suppose you can plant and/or "transplant" potatoes. Never heard of transplanting them?

First off, potatoes don't do well in tight soil. You need a well drained, soft, sandy loam or conditioned soil.
You don't water potatoes. They'll rot in the ground.
When the plant comes up from the slip, start piling hay around the plants. The plant will stretch up to get out of the hay and form potatoes in the hay instead of underground.
Some folks use old tires to form raised beds to plant potatoes.
Taters love cooler weather.