Theoretically, you could park the newer cars in a garage lined with steel mesh similar to a window screen and well grounded. (You would need to check what wavelengths to expect, I've forgotten if I ever knew.) IIRC, EMP is moderately long wave, thus a screen with insect mesh would work. An expensive alternate is a steel garage with zero gaps around the doors. No gaps is key. Once upon a time in wayback times, we built a hardened radar station that had an EMP "proof" room in it, no gaps anywhere, and designed for short wavelength resistance. Solid steel lining, all penetrations were isolated and wave guided.
Yeah electric motors shouldnt be a concern, and like Ghrit mentioned, if it was going to be parked untill needed (so Mr. Murphy didnt make sure the EMP hit while you were out driveing) then you could just have any vehicle and have it parked inside of a fariday cage and drive it out after the fact with no issues. Most likely other vehicles, especialy those without computers, would be fine but COULD face a pulse severe enouph to screw them up and a considerably stronger pulse could fry electronic modules and such. Basicly the lower tech the bigger EMP it could take and electric motors would not be very high tech.
