Drill holes in the bottom of each small plastic container. These containers can be the size of a large margarine tub. Place a handful of small stones into each container and fill them with multipurpose compost. Put these small containers on a wooden table or on shelves in the greenhouse.
Pot the sweet potato cuttings in the small plastic containers.
Keep the compost moist with tepid water. Place a clear plastic bag over the containers until the cuttings take root.
Place each large container on a low work surface or clean area of floor, and upturn them.
Make a number of holes in the bottom of each container with a hand drill. These holes will allow water to drain from the containers and will prevent the sweet potato from rotting from water-logged soil on the base of the container.
Place the containers in your greenhouse and fill the bottom of each container with small stones. The stones lift the soil above the bottom of the container and allow water to drain away from the soil before draining completely from the container.
Fill the containers with multipurpose compost.
Remove the shoots when they are 2 to 3 inches long with a sharp knife, and pot them in the large containers.