A bamboo toothbrush replaces the plastic handle, which is most of a toothbrush’s weight. The bristles on most models are nylon, so they are usually removed before the handle is composted or reused.
Compare bristle firmness and head size as you would with any toothbrush, and store the brush where the handle can dry. Dental guidance on how often to replace a toothbrush applies just the same. See where to start in the bathroom.