You'll go mad reading those ACs...although they do form the basis for the actual program at any US carrier. An alternative would be to try these excerpts from the Air Carrier Inspector's Handbook (used to be FAA 8400.10, now 8900.10). They are much better written and actually have a logical flow.
If you go to:
Flight Standards Information System (FSIMS)
I'm not smart enough to figure out how to link directly to the content documents, and they don't make that obvious. But a "quick search" window will be in the upper right; do a quick search for the term "CAT III" and you'll get a list of documents. The four listed below should be in the list. They provide a really good comprehensive background on a lot of this stuff...from the US FAA side, that is.
Introduction to and Evolution of All-Weather Terminal Area Operations
General Concepts for All-Weather Terminal Area Operations
Category II Operations
Category III Operations