Seems like a lot of work, at work we just use a hose to flush it all out. Too much effort to take the radiator out and muck around with that. If you use tap water in the cooling system, it will corrode your radiator, but just cleaning it should be fine, but its up to you how you do it. Bleeding the system is pretty much just running it for a while, letting the air bubbles escape. When it starts to overflow, i usually put my hand over it to make it go into the overflow tank and dont waste it. If your in a hurry, you can over fill the overflow tank, and it'll suck the coolant in as it is needed, but it probs isnt recommended.