Bacterial suspensions are ubiquitous in naturally occurring and man-made scenarios. Their transport determines how infections spread and microbiota organize in guts or in soils. In addition, bacteria can turn common passive materials into novel active materials with emergent properties. In this talk, I will discuss our latest and ongoing research on bacterial transport, from statistical properties of their run-and-tumble dynamics, to macroscopic migration in microfluidic channels, and swimming in non-isotropic synthetic and biological liquids. Our results unravel bacterial strategies for space exploration and provide insight into the design and control of out-of-equilibrium materials.