Well I managed to cut the stems of the big vines and removed whatever I could reach above my head. The rest is still wrapped around the trees. I was told its best to leave it. It would dry and fall off one day. Now I am having to bag all the trash from the cut vines. I thought the best way to do this is to work in one hour shift at a time and wash thoroughly to avoid the effect of it. Still got some nasty rashes though.
Good luck with your new house.