Hi Slammed,
Lots of great advice from a bunch of guys with tons of experience. I definitely second the fact that with slicks you are going to need track pads and without any front cooling, you will go through them quickly. And they are expensive. Also the performance brake fluid is a must for any track driving regardless of tire selection. Bleed the brakes often.
Other things to keep in mind going to slicks is your brakes will generate a lot more heat, shortening the life of your ball joints, etc (the rubber caps melt and things start going badly from there). Additionally, the increased side loads will wear out your wheel bearings quicker. Not sure if you have an ABS car, but slicks are very light and will lock up much easier than street tires (and flat spot in a heart beat).
To take full advantage of the slicks you will definately need the proper track alignment (or they will wear out very quickly) and though not required, I highly recommend suspension upgrades (shocks and springs) to keep the chassis from rolling all over the place. I ran stock suepension on slicks (Goodyears) a few times and it felt like a '59 Caddy. With shocks and springs it got better. Stiffening the chassis with a full cage helped a bunch and it is now go kart-ish. Did I mention brakes?
I absolutely agree to run a few times with street tires. If you then want to experiment, I would buy some scrub DOT Toyo Proxes RA1's from the World Challenge (WC) guys. Get 305 fronts and 335 rears. Smaller fronts (285) will not turn in. Heck, get 335 for the front as well. They can be had at WC events for around $30 each or at anytime for something near $80 each from guys who make a business reselling them.
Slicks drop off very quickly with heat cycles but I found them approximately 2 seconds quicker than DOTs (at Thunderhill - 3 miles) when compared new tire to new tire. I can get two days out of a set of front slicks and 3-4 days out of the rears before I hit the cords. With Goodyear slicks 25.5x12.5-18 I run the following: Camber FR -2.5, RR -1.2; Castor FR +6.5, RR +1.0; Toe FR 1/8" out, RR 1/8" in, and a 1/4" rake on the ride height (front lower). With DOTs, check with the manufacturer but you will likely want to run lots camber in the front. A tire temp gauge is a real good investment and will be paid back in extended tire life in no time.
Have a great time.
Hey SoCal, what are you driving these days?