32' is a long trailer.  My car hauler has a 16' deck so it is around 21' in total.  A trailer that long is going to require a big hitch ( 2 3/8" ball), trailer brakes even empty.  I would be thinking something like an F150 would be required at a minimum, a 10,000 lb capacity trialer even empty is going to weight around 4,000 lbs.