Thanks for writing. For the bamboo, your best bet is probably to go with an herbicide such as Roundup. While it's by no means idea, it is one of the more effective products and typically breaks down in about a week or two.
If you want to go entirely organic, you can try solarizing the soil next spring by cutting all the bamboo/weeds to the ground, running a tiller or hoe over the area, and covering it with clear plastic. Secure the plastic down around all the edges so it won't catch in the wind and so it holds in heat. If you keep it in place from spring to midsummer or so, there should be enough heat that builds up under the plastic that it kills all the weed roots and many of the weed seeds, giving you a clean start.
---Justin, Senior Garden Editor, BHg.com