DualShock 4 controller, or an Xbox One controller.
The DualShock 4 listing promises a ship date of November 15, in line with the PS4 launch date; the Xbox One controller doesn't look like it'll ship until November 30, however, after the November 22 launch date for the Xbox One. Shipping will cost extra, as well.
The DualShock 4, the latest iteration in Sony's line of controllers, features a two-point touchpad, built-in light bar and speaker, and six-axis motion-sensing controls. The Xbox One controller improves upon the popular Xbox 360 standard with a new d-pad, rumble motors located within the trigger buttons and an infrared beacon that plays nice with the new version of Kinect.