When I first purchased my Xbox 360 it came with one wired, and one wireless controller, to begin with, I decided to use the wired controller because it meant less effort than having to find new batteries every day, but after a few weeks of continuously tripping over the cable, I decided to use the wireless controller, which is much heavier due to the fact is has a battery pack. I preferred the heavier wireless controller, and instead of having to continuously buy, or recharge separate AA batteries, I brought the recharging kit. This made using the controller much easier.
But in terms of performance, the two controllers are basically the same, both offer a great level of sensitivity and precision and mean using the controller for pin-point accuracy is very easy to do. Also because of the bulkiness of the controller, it seems to be more comfortable to use than the old PS2 controllers, which were very thin.