If a grapevine on your property is becoming a thorn in your side, taking up space, is sickly and/or not producing, then it may be time to get rid of it. While you can work to get rid of grapevines during any time of the year, you may find it easier to do so in the late fall or early winter since the leaves will be dropped; and, if you know someone who wants the plant, it will be in a dormant state for transplanting.
Clip all of the stems from the vine two to three feet from the ground just above a bud with a diagonal cut. If the vine is going to be discarded entirely then simply cut the vine to two to three feet tall without checking for buds.
Remove any of the cut-away vines from the area. Rake along the ground to clear excess leaves, mulch, and pieces of vine away from the base of the grapevine, leaving a 2-foot-diameter area clear.
Dig down around the vine starting a foot away from the base and working all the way around the plant. Move in closer to the base of the vine as the dirt is loosened until you have isolated the root ball and it is free from the soil.
Lift the vine with the root ball intact out of the hole. If possible, try to put the head of the shovel under the roots and push the handle down to work as a lever, raising the vine out of the hole, while someone else pulls the vine up.
Fill in the hole with the displaced soil and add any garden or top soil as needed to make the area as flat as possible if you aren't planning on replanting into the hole. Take the vine to its new location if transplanting it, or discard it.