So after some research on the web I was able to find a possible answer to the first tough question: Which part number do I need? A helpful document states that there are only nine different types of faucets that Price Pfister made, and mine fits the description for the "09 series." That series uses a cartridge 974-292. Awesome.
Today during my lunch break I went to Ferguson Express and they had the cartridge in stock. Plus they let me borrow the tools for removing the said cartridge from the fixture.
Watch out for more updates as the events unravel.