I just moved into a new home where the yard was not kept well. Most of the wire fence in the backyard is overgrown with honeysuckle vines (such that you can no longer see the fence). In corners of the yard, there is no grass - just vine roots.
What makes the problem worse is that the backyard is very close to a creek, so the soil appears very rich - I'm digging up dozens of bulbs that have sprouted among the roots of these vines.
What are some tips on getting rid of the vines for good? How can I ensure they don't come back?