Hi, i have come to the conclusion that my alternator pulley is ******, my belt tensioner is wobbling around like a bad drunk!

Question is can i change it without removing the alternator, the engine code is BEX 1.8T quattro. The haynes manual says to drain the coolant and remove the coolant pipe out of the way, is it possible to get the alternator pulley off without removing the alternator, if not can i get away without draining the coolant and removing the hose.

Where is the best place to buy a new pulley from, i have a TPS account so a genuine one maybe the best option, also where can i get the splined tool from to remove the pulley?