Im guessing you have coilovers, because you think oem is not good enough, and you wanted the car lower? Coilovers should really be corner weighted, guessing the heights are the same, or close enough with a tape measure, or the old 'finger test' isnt properly setup.
For a road car, imo, they are a waste. For a track car, great, buy some decent coilovers. A set of Nitrons or something will outperform oem on track. Most people claim around a 1% change in lap times when running coilovers. So on the road....you gain very little.
Yes, the feel of the car changes, it feels more sporty as its got a bit less roll, possibly higher spring rates, and is certainly bumpier. But how much turn in speed have you gained, how much apex/corner speed have you gained.
Most lower end coilovers adjust via the spring perch, adding preload to the spring. This is not ideal from the start.
As i said, its not as simple as lower = better handling. Lowering will change the COG and roll center which will change the roll couple. Often the opposite to how people expect.
The longer the roll couple, the more weight is transferred to the outside wheels during cornering and the more the car will want to roll in a turn. A longer roll couple makes cars slower to respond to steering input. The resulting weight transfer from a long roll couple also uses the inside tires less effectively during cornering, thereby reducing the available grip.
There is a lot of science to geometry. My advice to anyone is to research about the differing angles, how they interact, what happens when 1 is changed etc.
You need to have an idea of what you want to achieve, then learn how to go about the task.
And again, as Simon said, coilovers always have compromises. How often do you read people saying they need rebuilding, ones leaking, a top mount is knocking etc. Im not knocking them, they can be great for a given task. But for general road use, they arent needed imo. No one is driving on the limit so much they 'need' coilovers. Not on a road. And any benefits, on road, are so marginal, they can equally be gained by altering a number of other things.