Cut the vine at the base where it grows from the ground. Use bypass loppers if the stem is 1-1/2 inches or less in diameter or a pruning saw for larger specimens.
Cut the smaller individual vines and pull them off the house, piece by piece. Where vines are wrapped around an object such as a gutter or latticework, do not pull, but untwine them carefully to avoid causing damage.
Attempt to dig out the roots of the vine with a pointed shovel and mattock to prevent regrowth from the main trunk.
Apply a chemical herbicide if the trunk of the vine is too large to remove by hand. Glyphosate or other similar products can be painted on the freshly cut stump to prevent the vine from regrowing. Read the product label to determine if the herbicide needs to be diluted, as application rates vary.
Monitor the stump and surrounding soil on a weekly basis to check for regrowth. If any vines appear, cut them to the ground immediately or spray with herbicide. If no new growth is allowed, the energy stored in the root system will eventually be depleted and the vine will die.