Expansion velocities (V_{exp}) of different ions and line widths at the base of the lines are measured and analyzed for 24 PNe with [WC]-type nuclei (WRPNe), 9 PNe ionized by WELS (WLPNe) and 14 ordinary PNe. A comparative study of the kinematical behavior of the sample clearly demonstrates that WRPNe have on average 40-45% larger V_{exp}, and possibly more turbulence than WLPNe and ordinary PNe. WLPNe have velocity fields very much like the ones of ordinary PNe, rather than the ones of WRPNe. All the samples (WRPNe, WLPNe and ordinary PNe) show expansion velocities increasing with age indicators, for example is larger for low-density nebulae and also it is larger for nebulae around high-temperature stars. This age effect is much stronger for evolved WRPNe, suggesting that the [WC] winds have been accelerating the nebulae for a long time, while for non-WRPNe the acceleration seems to stop at some point when the star reaches a temperature of about 90,000 - 100,000. Non-WR nebulae reach a maximum V_{exp}