In this thesis, I study the transport properties of driven out-of-equilibrium systems. This goal is achieved by employing a combination of analytic and numerical techniques to investigate low-dimensional fermionic chains affected by unitary interactions or dissipation. The latter allows for an exact solution of any two-point correlation functions, which we explore to find exact non-perturbative expressions for the driven particle and heat currents. These expressions enable us to describe novel ways to extract work and heat from noisy quantum devices, formulate a new effective theory for diffusive systems and propose a semi-classical interpretation of these systems. Within the realm of unitary interactions, we discover new transport regimes that precede the onset of diffusion in integrability-broken models.