Don't need any discs, in fact i would advise against using any of the game discs to install the game due to how they changed it around.
You still need to buy the game though, either as a digital purchase through battle.net or the physical copy from a store like best buy.
First game you need is the core world of warcraft. That brings your level to 60.
Then you need to buy burning crusades to bring your level cap up to 70.
Wrath of the lich king for 80 and cataclysm for 85.
If you want to try it before you buy it, go here -
http://us.battle.net/en/Create an account, then can create a 10 day trial with world of warcraft. Which let's you level a character to 20.
Once you buy the game, you add the cd keys to your battle.net account. Then you can download the game client and install it.
This post was edited by Arsenic_Touch on Aug 14 2011 07:37am