My car dies when I come to a stop?

1998 Chevy Cavalier mileage: 81,000. My car dies when I come to a stop, once it's warmed up after having been driven for about fifteen to twenty five minutes. It's an automatic, but the characteristics of when it dies is like having a manual shift car and leaving it in third or fourth gear and coming to a stop without engaging the clutch. It gets jerky and then dies. I immediately put it in neutral and it starts right up, but when I try to put it in D [drive] again it dies as if I put it in a higher gear. What could be causing this and how can it be fixed? I've thought about changing the transmission fluid, but will that be enough?