In this work we theoretically study the possibilities for controlling the propagation of beams and pulses by modifying their coherence distributions. Theoretical models for partially coherent fields that have non-uniform coherence functions instead of the typical Schell-model correlations are introduced and the propagation of the fields is studied by numerical simulations for example cases. It is shown that extraordinary propagation-induced changes, such as self-focusing and laterally shifted intensity maxima, can be obtained with suitable initial coherence distributions. Our results imply that tailoring of the coherence properties could offer a novel alternative way to shape and control optical fields.