We demonstrate a new method to study black holes and their dynamics in the limit of large number of dimensions D. The large-D effective equations for black branes yield localised black hole-like blobs as end states of the Gregory-Laflamme instability. We obtain solutions that can be identified with Schwarzschild and Myers-Perry black holes and show that their main dynamical properties, including their quasinormal modes, are accurately captured in this description. We also construct new solutions: a novel class of rotating black bars and the elusive higher dimensional generalisation of Kerr-Newman type. This approach is a highly efficient way to study the evolution of instabilities or collisions of black holes at large D.