Good grief, I did english ivy off a brick chimney..........and the paint, and the shingles, and the flashing a few weeks ago. Service drop and utilities ran about 3" away from the chimney.
Best I found was to start at the top and peel it like a banana, you'll have to cut at the corners to allow the different "faces" to peel down. Cut off short "slabs" with a saw.
I dont know what your situation is, but these vines were so dense, the stems formed almost a solid sheet of wood to nearly 10' from the ground. Bring a cats paw or a claw hammer, you'll need something to pry with. Loppers with a sharp tip would be handy as cutting/prying utensils.
GOOD LUCK!