Soft matter systems can only generate sustained currents when driven out-of-equilibrium. One can distinguish two classes of problems: systems globally driven by an external forcing, or locally driven by injecting energy at the single particle level (usually called 'active'). To study transport phenomena in these two situations, I will focus on simple particle model systems, composed of spinning particles, driven by a rotating external field, and isotropic self-propelled particles, powered by an internal energy depot. We will show how the interplay between particle interactions and the driving forces gives rise to collective transport at large scales. If time allows, I will also discuss the hybrid situation when both local and global driving is at play: the shear rheology of dense systems of self-propelled particles, from the liquid to the glassy regime. I will show the key role that activity plays in the flow properties of dense materials by discussing the yield stress surface in the activity-density-shear parameter space.