Well I took apart my entire bike pretty much, except for the internal engine parts and gearbox. It definitely gave me a real insight on how everything is put together and how it works, in my opinion taking it apart is the best way to learn but do get the service manual.
As for taking out the engine, I would put the bike on stands, then remove the chain, take off the tank, side fairings, radiator, remove spark leads and all other wires, carbs (although not necessary), and some other things i can't think of and then place something underneath the engine so it won't drop and undo the engine mounting bolts.
This method is probably not the best one out there but that's how I would do it with my small setup.
As for taking out the engine, I would put the bike on stands, then remove the chain, take off the tank, side fairings, radiator, remove spark leads and all other wires, carbs (although not necessary), and some other things i can't think of and then place something underneath the engine so it won't drop and undo the engine mounting bolts.
This method is probably not the best one out there but that's how I would do it with my small setup.