Welcome to hell.
I find it easier with the front tire removed. Also the radiators are attached to a giant piece of plastic that extends from the bottom to the front fairing. It's all in the workshop manual that can be found on the forum.
I dont know if you can simply remove the top radiator without removing everything else. to remove the radiator assembly there are two allen bolts holding it to the airbox and two holding it to the horizontal cylinder head. You will also need to detach the fan wiring and the single screw that goes into the oil sump. Dont forget the plastic "snap" thingies under the front fairing as well.
Drain the radiator first, then disconnect the necessary hoses. The top left hose always gives me trouble when putting things back together so I put a little lube on it to slide the parts together easier (you'll understand when you do it).
Good luck, you get better every time you try it.