Buy a small tote box (16 - 20 gallon storage container with a lid), a few air stones, which you can find at a fish shop or pet shop, some plastic tubing, hydroponic net pots (2"-3"), some liquid nutrients, and some lights (this is where most of the expensive will come from). You can also buy a small cloning chamber (Rapid rooter try and some rapid rooter cubes work great). You can buy all this stuff on Amazon.
Tote Box - Storage container
3" Hydroponic Net Pots
Clay Pellets (for the net pots)
Air Stones
Pump For Air Stones
Rapid Rooter Tray
Rapid Rooter Cubes
Ballast & Grow Lights
It's pretty easy once you've picked out an area where you plan to grow. Cut a few holes in the top of your tote box (with room between each net pot) so your net pots will fit inside the holes. Place your germinated seeds into the rapid rooter cubes and then into the tray and wait for them to sprout. Once they sprout and are about two inches tall, you can move the seedlings into you hydro setup. The tote should be be filled with water by this time, and your water stones placed at the bottom of the tot box. The more air stones the better, but a minimum of four should be a good place to start. Figure out how much nutrients you'll need, then add the nutrients to the water, and place the lid back on the tote box.
Now place your seedlings in the rapid rooter cubes into the net pots that are securely resting in the holes you cut out of the lid on your tote box, but first places a small amount of the clay pellets into the net pots, then place the cubes inside, then add more pellets around the cub so the cube is stable and standing straight up. The clay pellets should be level with the rim of the net pot, and the rapid rooter cube should be slightly below the rim, covered with the pellets.
You can also drill a few holes into the tote box, so you can route your air tubes inside the box that feed your air stones. Just make sure you drill the holes high, above the maximum water level.
Hang your lights, turn them on and you should be good to go. Of course there are other things you'll need to learn, but it's all pretty simple. Take it one step at a time.
-gray.
Edit: I should have read the thread. It looks like you bought yourself a nice little setup. Good luck, and keep us informed on your grow!