The Kerr-Newman-(anti-)de Sitter space-time is the most general stationary black hole solution within the framework of classical 4D general relativity, describing a charged rotating black hole with (anti-)de Sitter asymptotics due to a non-zero cosmological constant. After briefly reviewing some of the space-time's general properties and summarising the possible extremal configurations, we discuss selected trajectories of charged test particles in the space-time using Lagrangian formalism and focusing on the equatorial plane and the axis.