Troy, a larger diameter rear sway bar will drastically improve handling. It will eradicate understeer to a large extent. Basically, the best way I can explain it is when you go into a corner with some speed, the rear of the car will effectively 'push' the front of the car around the corner. It kinda feels like the car is on a pivot, the front just goes where you point it, and it feels like the rear of the car is pushing you through the corner. Now couple that with a lower centre of gravity, aswell as a firmer shock setup (coilovers) and you will also negate alot of the body roll that you feel when taking a corner quickly.
Strut bars (the cool looking bars that go across the engine) will not do much on their own. They are the finishing piece in the suspension set up.
Get yourself a larger rear sway bar to begin with (and those coilovers if you can sus them out and get them for the right price) and you will never want to get out of your car. It will transform it 100%.
But yeah, you won't believe the difference a larger rear sway bar will make.