Phys. Rev. Lett. 93, 190403 (2004). We evaluate the frequencies of collective modes and the anisotropic expansion rate of a harmonically trapped Fermi superfluid at varying coupling strengths across a Feshbach resonance driving a BCS-BEC crossover. The equations of motion for the superfluid are obtained from a microscopic mean-field expression for the compressibility and are solved within a scaling ansatz. Our results confirm non-monotonic behavior in the crossover region and are in quantitative agreement with current measurements of the transverse breathing mode by Kinast {\it et al.} Phys. Rev. Lett. {\bf 92}, 150402 (2004) and of the axial breathing mode by Bartenstein {\it et al.} Phys. Rev. Lett. {\bf 92}, 203201 (2004).