This is crucial! Make sure you put the fan in facing the correct direction. I originally put my new fans in backwards and the unit ran hot. For the Arctic fans, the correct orientation is with the label facing outward and the wiring on the inside.
I originally tried using the 3-2 pin connector the guide calls for, but the wires came out of their pins when I tried to strip the wire ends down. Here's what I recommend: take the new fan connector and depin it using the a small jewelers tool. Un furl the pin to completely flatten it out, then place your heat shrink over and down the wire for use at the end. Wrap the stock wiring of the unit (see Step 9 of my comments) to the flattened pin, fold the pin back over itself and the wrapped stock wiring, then and solder the connection. Lastly, slide your heat shrink over all exposed wiring and heat it up. Done!
For anyone interested in just replacing the stock fans without using the three way switch, I recommend using the Arctic F9 92mm fans. https://www.arctic.ac/us_en/f9.html. These fans have color coded wiring which makes it easy to wire up (red to red, black to black). There is an extra wire left over (yellow), which goes unused.
To ensure I left myself with the most wire to work with, I removed the blue sticker from the stock fans and pulled the wires off of the fan at the solder joint/point.