Well in general, you gotta decide what you want...great handling, or cushy ride. There is going to be some compromise in one direction or the other. You say that you want it to corner as good as it does now...so does that mean you want it to ride softer than it currently does?

Dampening is all in the shocks. Some car manufacters get a damn good compromise between good handling and decent ride comfort...BMW is one that's known for pulling it off.

The best thing you can do is have quality shocks, this will keep the suspension under control, it'll keep the car from bouncing around, hence dampening.

But if you really want to corner well, you will need stiffer springs as well.

If you are stock and are looking to increase the handling while maintaining a civil ride, then look at progressive rate sport springs matched with high performance shocks. Adjustable dampening is nice because you can dial it in to what you like.

Thicker aftermarket sway bars can increase your handling in turns without much of a decrease in ride quality. Which sounds like it may be a good option for you.

Strut bar will help keep the body rigid, but with a stock suspension set up, it's unlikely you'll get to the level that it'll make a difference, but it won't hurt.

But if you want your car to ride "like a luxury car" like you said, then leave it stock.

And the V6 bar should fit I would guess. Because I have the TL-S strut bar, and that engine bay is pretty much like the Accord V6 engine bay.