I had a '90 Honda Civic, which may have had a similar engine. To bleed air out of the cooling system there was a bleed fitting on top of the thermostat housing. It fit about a 12 or 14 mm wrench, and looked like a nut with a hole in the middle.
Use a box end wrench to loosen up the bleed screw with the engine cold so that you get a feel for how much torque it takes to loosen it. Then start up the engine and let it run until the thermostat opens. While its running and hot, loosen the bleed screw until coolant just starts to dribble out, which means you have let all the air escape at the highest point. Then close the bleed screw and top off the overflow tank to the hot mark.
Your fans will kick on all the time when you run A/C. One temporary work around is to just leave the A/C on all the time.