I run an auto center, personally I hate cars, yes I hate them, with every fiber of my being.
I know the tool they gave you, one big wrench and this gizzy thats supposed to hold the pully by the bolts while you crack the nut loose. Actually what happens is it lets the pulley slip while you crack all the skin on your knuckles loose.
The real tool, which makes it simple is a wrench that is made like a crowsfoot, (lil stuby wrench) and has a spot on the end to hold another tool attached to an air hammer, it acts like a lever and works pretty well. You just have to know which fans are reverse threaded or you can have a bad day as this tool will remove the fan in either direction. The wrong direction and you'll be getting a new fan.
You have to keep in mind that at one time cars were built by engineers so that monkeys could fix them. Now they are built by monkeys so that engineers must fix them.
Oh, just a side note: Very important, if you need tires for any of your cars, BUY THEM NOW! Tire manufacturers have told us that the price of tires will increase to an expected 30% to 40% by the fall.
Don