I found a straight change to Eibach pros to be a bit better on handling and lot better on ride comfort, less roly poly on fast corners as well. They don't lower by much, 10mm. at the front and nowt on the rear as my oe's were sagging anyway. Didn't change the shocks at all, still on oe's. I bought mine 2nd hand so cost me £100 and fitted them myself, easy job. If you want to lower more then you'll be looking at coilovers but at more cost and you will be able to get the ride height just as you want.
Don't assume lowering will improve handling and performance, it's not always true. there are more factors involved and costs as well.