Mine is in the garden, so can't mow them down. I wish I had never planted the trumpet vine and also have recommended to people not to plant it, even told a garden center not to sell them. The plant runs underground roots a long way from the parent plant, even after the parent is removed those roots (shoots) keep putting up vines. My vine use to be beautiful with stout vines pruned up and trimmed to look like a weeping tree until it tried to put up vines all over the place. The vine takes between five and seven years to bloom, when it does bloom it is a beauty and a hummingbirds magnet. After al the time and work I put into the trumpet vine it ended up being a absolutely worthless thug. This is the biggest garden mistake I ever made in my many years of gardening.
Now I have two honeysuckle vines that are more easily managed, bloom from spring to frost and the hummingbirds are always around them. They are Dropmore Scarlet and Major Wheeler, I love the long bloom period which are plentiful and colorful.
Ladies I am sure bamboo would be attractive, but just does not appeal to what I like in plants.