Cut back your grapevine so it is 3 to 5 inches in length. Remove the side canes and leave a healthy main grape trunk. Use bypass shears or a pruning saw, depending on the diameter of the trunk.
Water the area around the base of the grapevine. Press a shovel 1 to 2 feet away from the base of the grapevine and at a depth of 1 foot. Push the root system through the soil. If it is difficult to push the root system through the soil, use a landscaping bar, and use your weight to push up the entire plant.
Wrap a moist burlap sack around your grape's root system. Take the plant over to your proposed planting location.
Dig a planting hole that is twice the size of the root ball and at the same depth as where the grapevine was planted at its previous location. Place the grape plant inside the hole and pack soil around the base of the plant.
Press a 6-foot stake 6 inches away from the base from the grape plant and at a depth of 6 inches. Tie the grape trunk loosely to the stake.