We use the model of interacting self-propelled particles as a rough model for the collective motions of cells and organisms. First we study self-propelled motion with linear attracting interactions. This way we develop the dynamics of swarms with self-confinement by global coupling in coordinate- and velocity-space. Further we study the model of Morse-type attracting forces and global velocity-coupling. We begin with pairs N=2; the attractors and distribution functions are discussed, then the case N>2 is discussed. Simulations for several dynamical modes of swarms of active Brownian particles are presented. In particular we study rotations, drift, fluctuations of shape and cluster formation. Finally we study the symmetry-breaking effects of hydrodynamic interactions of Oseen-type.