Wondering if this has been done and what tool do you need? Looks like the tool screws in down about 1" the middle of the shaft hole and then I guess with pressure applied, it pushes up off the shaft itself? Any help would be apprecaited. I am cleaning this and the back bracket. Thanks!
SJW

 

Maybe, once or twice perhaps...

The first question is, do you have a pulley with a nut and keyway, or the pressed-on style? The easiest way to loosen the nut is while the pump is still on the car and the belt is tensioned. The pressed on style needs a pulley remover tool.

http://www.amazon.com/PULLEY-REMOVER.../dp/B000F7VCDW

 

Looks like a pressed on one. In the center is a "hex" nut point of entry, and them threads below that, so I guess it's pressed on?

 

It will be pretty obvious if there's a large nut holding the pulley on the shaft. If not, you have the pressed on version. The hole in the shaft is so you can reinstall the pulley. A bolt is threaded into the hole and a nut and washer used to pull the pulley back onto the shaft.