GG, there are several different methods for CO with a moebius: you should look at them all before deciding. Or, of course, you could simply try whichever one you find first and see if it's OK or if it drives you bonkers.
The one I ended up with, having tried at least three others, was the one for the completed scarf I posted the pic. of; and also, to my great luck, for the next pattern I'm going to do - which is the link I posted when referring to a superior pattern. Total coincidence: one creator is an Aussie and one a yank, and they know nothing of each other. As well, these are the only two moebius patterns I've found, in about a thousand years of trawling the Web, that use this particular CO.
Me lucky day!