Do the fans need anything special, like a control connector, or do they just power off the controller?
Nope. the sockets are bog standard 4 pin, and the controller runs off of a molex. Don't know if you can make it out, but they're all in the top left corner (I don't use them, so they're tied and tucked away).
But yeah, you shouldn't need any more, depending on what GPU you have. Mine has the two that came with it (intake on the front, out on the back), and my temps are currently (idle) 29c for the CPU (with a 212 Evo) and 28c on the GPU (Gigabyte 770). Despite all the dampening, the case doesn't run too hot. My max temp recently was 66c on the GPU, and that was whilst playing Battlefield 4 on max settings.