First consider the SUV you will buy. Be sure it is heavy duty and has enough torque and HP to pull a two horse steel trailer. Heavy duty suspension and cooling system. Consider a diesel. Cooling system for transmission is advised.
Regarding the trailer: I suggest the warm blood (larger size ) trailer. As a beginner and using it for short trips, I suggest HAWK brand. Basic two horse trailer with small tack room in front. Four tires. Straight load, not slant load. Full height back doors. Strongly suggest you buy it with a ramp. Easier to load and greater protection if you are re-ended in an accident. I had this experience and the ramp saved my horses. Steel not aluminum. Try to buy a trailed with a removable inside divider. Synthetic flooring, not wood. Also get inside lighting if you may use it after dark.