Figured I would update this thread. Since I was discouraged into renting a chipper/shredder, have no goats to eat the vines, don't have a pickup truck to transport the yard waste somewhere, cant light a bonfire to get rid of it, I am doing what I didn't want to do and that is manually separate all of yard waste by hand. Determined to make the best of the situation, I figured all of the yard waste can be turned into firewood , so I began sizing and stacking appropriately.
The project has also been scaled up to not just cleaning up the two fallen trees, but the entire back of the property line adjacent to the neighbor's lot. As we started clearing vines from the trees, we noticed there was a rusting iron fence COVERED in vines as well. That fence was removed to expose a nice scenic rock wall that follows the property line. The fence and the vines covered most of it and we had no idea the rock wall would look so good. We cleared a good third of of the rock wall and the back yard looks great now. I completed the mind numbing task of snipping all of the vines and and small branches with a hand snipper (took all damn day). Have 3 piles now, kindling and small and larger firelogs. The vines provided so much kindling; enough to last us few years, probably enough to light 100 new fires. We can always grab a stack of dried kindling and wood when we go camping or light a firepit. I can take some pics and post later on.
P.S. I also inquired at the city fire department and they will allow firepits when you apply for a license, but not uncontrolled bonfires. At least now we have a reason to have all of this kindling and firewood and getting rid of it can be fun relaxing in the evenings around a nice fire.