When the car is warm the idle drops and raises.

When the car is warm the idle drops and raises between 800 rpm and 600 rpm. When I accelerate hard (put my foot to the floor) the car chokes and struggles to get up to speed. After it reaches 3000 rpm it will be fine. Anytime the car is put under any sort of load (turning on the AC, shifting gears, hammering the gas in any gear) it chokes on acceleration. There are no engine codes and car recently had a full tune up. Any ideas what the problem could be?