Well I have/had the same car. I lowered mine first then went to sway bars. The lowering helped because of lowering the center of gravity of the car, but the real difference came with the bars. I went with HO bars front and rear, and this is a really nice set up. I love the car in corners now, it handles like it should have when i bought it. The most common bars is either the HO all around or the F-body bar in front with a HO/HA rear. Ho and HA is the same bar.
But, I hate that word, if you do sway bars, upgrade the rear lower control arms. The stiffer rear bar will tear through them. I went with Global West on a group purchase with a nice discount, but every after market one would work. I think the most common in BMR because of cost.