Well, after reading all these replies and looking again at the Reikan website, my tentative conclusion, for me, is this:
My laptop computer is running CS2 on WinXP, and won't even consider running the Canon utitlity for the 5DMkIII. My desktop computer is in a tiny room that wouldn't give me a way to achieve even the minimum shooting distance for the Reikan method.
While it may be a tedious method, the fact that I could set up the LensAlign system using the full length of my house downstairs from my computer room, shoot required number of shots at each end of my zooms, and then look at the results upstairs on the desktop seems to be the only feasible way for me to go. I suppose I should set aside a few afternoons, since I have these lenses: 500 f4, 100-400 f4.5-5.6, 100 f2.8, 50 f1.8, 28-135, 15 f2.8, and 16-35 f2.8 (all Canon), and a 28-300 f4.5-6.3 Tamron.
The Reikan and Bart's Moire routine seem the easiest but next to impossible for my setup.
Nobody here has mentioned the DataColor Spyder LensCal system. How does it compare to the LensAlign?