There are no fancy stitches, and you don't even have to knot the threads. You just push the special needle through the fabric, and it creates a hooked effect on the other side! I'm working on the Antique Rug kit for Phoebe's room. I changed the colors around to look a bit better in the room without trying to match the wallpaper exactly.
Here is the carpet after about a week of intermittent work. I started off packing the stitches far too tightly, so the design is a bit distorted in places, but I'm not worrying about that too much.
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Here's the back side of the fabric. You can see the design a bit more clearly from this side. When I decided to change the colors around, I copied the printed fabric a few times, and colored the copies with colored pencils to get a sense of how I wanted the colors to work.