Yeah, you should shake off the water first (12 times is a good number), then rub your hands to spread the water over your hands so your evaporating water on all parts of your hands.

Takes less than a minute and gives you completely dry hands. This works with type 1 and 3 mentioned by you. Type 2 like the Dyson Airblade work if you pull your hands through slowly but then they will take a couple of minutes to dry on their own. With type 2 shaking the water off is not important since the machine does it for you.