What kind of joystick for CoD ?

If you want to spend $100 or less then you are probably going to want to stick with Logitech. They seem to have the best quality control for the sub $100 line, which is more than I can say for their more expensive offerings.

If you want to go for $100-200 then you're going to have some more options and troubles. The X-52 line from Saitek is nice, but there are lots of issues with spiking and general crappiness in their quality control. If you decide to get an X-52 make sure you're close enough to the store to get it replaced (multiple times if needed). These sticks also have issues with wearing out after a year.

CH also offers some stuff in this price range, and they seem to be the guys with the best quality control, but you're also going to be getting something that looks like it hopped off the plane from 1993.

$300+ puts you into the G940 the X-62 and Warthog territory.

The G940 is the only hotas with a rudder and force feedback, but it still has a reversal bug on the rudder and the throttle, plus it has issues with overheating and shutting down after extended use (+1 hour of flying).

The X-62 is a force sensing stick that doesn't move. Better for modern sims like Falcon 4 and DSC A10. There isn't much out there on this since most people don't trust Saitek to make something worth this much money.

The Warthog is the top of the line, with metal parts, lots of buttons, and a pricetag to match. Some people have had issues with buttons on the throttle not working and DOA units.