For most tricycle light aircraft, the more slowly you're going when you touchdown, the better, including some sounding of the stall warning - as long as you touchdown gently! Hovering over the runway at 5 feet up, with the stall warning blaring is bad. Touching down too fast is worse. See video.
If the aircraft is stalled, or nearly so, when you gently touchdown, a bounce, or pilot induced oscillation, is virtually impossible. PA 28's have a happily large speed range within which a nice landing can be made. Landing in the slower half of that speed range will give you better results.
In what you wrote, I do hope that you are confirming the proper operation of the stall warning system. You are coming closer to relying upon it, so know what you have working!