Could also buy a set of strap wrenches to hold the pulley with. They are under $20 from Harbor Freight for a set fo three different sizes and come in handy more time than you would think.
Amen....Most of mine are craftsman and harbor freights just like you. I went to harbor freight to buy the vise grip on chains to remove the nut on the fan clutch. I did this after failing using a strap wrench that broke because of the force I applied to try to remove the nut. Actually broke 2 strap wrenches.95% of my tools are Craftsman. The rest are either Walmart or Harbor Freight. Which are just the "special" tools that are kind of a one time use or rare use item I couldn't see paying a premium price for.