At the time I originally created this writeup, I used the capacity that had been listed elsewhere because I couldn't recall exactly how much I had used. For the record, it takes just a bit less than 2 quarts of ATF when you simply do a "dump & fill" fluid service.
The type of ATF to use is 100% irrelevant, I recommend to use the cheapest available. Different types of ATF exist because of the different requirements needed in the friction modifier aspects of the different fluids, specifically with respect to the friction materials of the bands & clutch plates. Your transfer case does not contain any such material, therefore the friction additives in the different types of fluid are without consequence. Simple lubrication is the only goal.