I have a woody area with honeysuckle, rattan vine, etc. that I plan to put a few goats. We're going to get cattle panels from the feed store & fence them in a small area at a time, provide water & a little shed made of tin for shelter from sun & rain. Hogs will also get rid of stuff like that, roots & all. Other than that, something like BrushBGone or Roundup, or digging all you see is the only way I've seen that works (& I've got some in places that I dug up a few years ago that I'm still digging!).

thanks!! the neighbor has goats that come over and "help" with them from time to time LOL Round up and shovel here we go!!!

You should try to keep away from the chemicals. Research is showing that this stuff doesn't leave the soil - EVER! No matter what the manufacturer tells you. What will definetely get rid of the vines is time. I know the bug is biting to get a garden going but as Rome wasn't built in a day neither is a garden. I purchase a house that had a beautiful overgrown garden, complete with stone walls, laid out beds, etc. The problem was everything was covered with sumac, wood vine, wild grape, poison oak and poison ivy, red maples, black locust, saplings all over the place, and lots and lots of wild honeysuckle shrubs. It's a wonder I was able to envision anything at all.
My impulse was to run out and try to tackle everything at once. A big mistake. When you do that you get a lot less accomplished and wind up feeling exhaused, depressed, and defeated, than if you had take one section at a time.
With a good pair of gloves, good clothes covering (there were lots of deer ticks and other bugs too,) and the proper equipment (hand saw, pruning shears, hedge trimmer, loppers, wheel barrow, and of course a headphone with music playing,) I accomplished in a matter of weeks what would have taken me months to achive. Looking back I don't know how I did it considering I did it all by myself. Sounds like you have help with the goats. I wish I had thought of something like that. It would have saved me many backaches. Good luck and enjoy your new garden. Also, you should keep a journal about your progress and if it had previously been an established garden, don't do any digging yet. You may just dig up lots of perennials, like peonies and poppies, which my impatient sister did last year after she purchase her new house.

I had a problem with honeysuckels on a chainlink fence and this is how I got rid of it forever. After cutting each individual vine coming out of the ground, I sprayed the entire area with ROUNDUP. Not the pre-mixed but the concentrate kind that you have to mix. (2 1/2 oz. to a gallon of water) It's expensive, but it works. I bought it at a good price at COSTCO. I know that some people are going to disagree with the use of chemicals, I don't like to use them myself. But after trying everything else with no luck, I personally didn't care. I developed a personal hate for that vine and I just wanted to kill it, even if I had to use agent orange. LOL