InsaneNoodlyGuy
Dark Lord of the Pasta
I don't think Dooku threw the fight with Anakin. I'd imagine rather the opposite, that Sideous told him to destroy Anakin. If Dooku could destroy Anakin, Sideous would have no use for him, much the same way he then pitted Vader against Anakin. The Sideous/Windu fight I find more debatalbe, because for a guy who supposedly got his ass so badly kicked, Sideous got up fully recovered pretty fast.
As to the hands, the Star Wars Visual dictonary (Which I would consider as cannon for obvious reasons) states it outright: Vader cannot use force lightning because force lightning needes to be created inside the hands. As to making "Conductive hands", it woudln't work. Needs to be living hands. Same reason that jedi can do all those super acrobatic acts that vader no longer can: he cannot channel the force into his arms and legs. The same principles are why vader was hurt by force lightning so badly: His life support was shorted out.
Hands are not needed for force chocking or general telekinesis, though I'm guessing so many people do it because it feels natural to do so. However, if hands were needed for telekinesis, Luke couldn't have lifted those rocks in ESB, nor could Vader have pummeled him with all those objects.
Now, if we go into EU for a moment, force storm is basically what happens when you create force lightning without using your hands. I imagine in theory vader could learn that, and did show an early ability in it in Splinter of the minds eye (which, I concede right now, is probaby the most logically non-cannonical of all the books) though I imagine force storm compared to force lighting is particularly hard.
At any rate, back to definitie canon, vader can't use force lightning, he can use force choke. Not to mention it's kinda his preferred move, so of course he's good at it. Displays the best range with the stuff of anybody in the movie. Obviously a lot of practice.