1991 Acura Integra Off the line acceleration

My car slightly shakes when I take off but is ok at high RPM's. Another thing it does is (for expample) if I was going 35 in 4th gear and try to accelerate 1/4 throttle, it still shakes (hesitates) is it vaccume, fuel, air? Also when I come to a complete stop sometimes, my idle rises from 750 to 1500 than back down for about 10 seconds than idles at 750 as normal. Any ideas?