You might consider building a linear container of timber and lining it with heavy plastic, with drainage holes. It would need to be 40 to 50cm high and wide and any length you want. This might seem big but not if you want bamboo to actually grow. You could fit in some smaller plants such as ivy to the front to trail down.
Fit an automatic watering system to deliver sufficient water without fail.
Hazel would be better than birch, which is never happy in a pot, though neither are good in pots. Japanese maple would be better.