That pretty much covers it. I have studied that several times and even now it reminds me of some things. But, there is nothing like having someone show you how to do it and seeing the little nuances of each step.
After taking Bill Anderson's class I have no problem taking on my worst saw and I also know when to pitch one and not waste my time on it.
What pitch are the two saws?
I have found files at my local hardware store, it is a small town old time hardware store and stocks a lot of things that the big box stores don't have. You can also go online and search for Nicholson slim taper files. You probably want a 6 inch for the crosscut and a 7 or 8 inch for the rip depending on the pitch of the teeth. The teeth should be about half the face of the file.
Do you have a saw jointer. The article says to joint of the saw is in bad shape, but jointing between each operation helps you to see where you are. If you don't have one you can make a wood file guild that will do.