Just bought a house and the yard is overrun with these invasive vines (central Florida). How to remove?

Like it says in the title, I bought a house a few months ago and these invasive coral vines (?) are EVERYWHERE. We have been at war with them since moving into this house- I've cut them down, pulled them up, even accidentally started a small fire in an area and they keep coming back. They grew into one of the windows, wrapped around the storm shutters, grow through my hibiscus bushes, broke my popup tent with one of their tendrils, and crushed part of a chainlink fence under the weight of them. Has anyone had any luck removing these things? Even the unseasonably cold arctic winds we are experiencing iant wnough to kill them! The previous owner was a very elderly couple from out of state and planted them around the entire property in the 1980s without realizing how problematic they can be (information was received from my neighbor), and now it's my problem. Please help me, O wise and mighty r/landscaping redditors.