We present a nanofluidic switching function which allows directed transport in lipid bilayer nanotubes ( approximately 100 nm in diameter) between any two or several nanotube-connected vesicle containers (5-10 mum radius) in a large network. Liquid is transported in the form of small vesicular structures (10-15-10-18 L), and the transport direction is controlled by a two-point perturbation technique, where the surface membrane tension is decreased in one container while it is increased in another container. When reaching a target container, the transported vesicular structures could also inject their material into it.