wall of vines

Sometimes I wish there's not that many vines on the fence in our yard, but they seemed to have been there forever (way before we move in the house)... we cut them off and they come back very soon after... I think they are almost out of control!


I saw this near a restaurant on 4th South. It was so pretty in the sun.

I wonder if there's a way to "control" the growth of the vines so I can have pretty walls of vines but not have them "bother" the trees nearby? Hmm...