While the diversion into finding logic level MOSFETs in distributors' parametric search pages is interesting, and useful to many of us, it is of little use to the O.P. and their 14V, 12A motor.
Logic level MOSFETs without a proper H-bridge driver with dead-band control will make the O.P.'s problems worse as they will drastically increase the shoot-through current spikes, and if you use a H-bridge driver, from a 12 or 14V rail, you'll have plenty of gate drive for ordinary MOSFETs.