Welcome to the forum. Sounds like you're off to a good start with your smoothness. The Mach III disposables are good and will work fine for now, but you should pick up the regular stick razor.
Mach III's are still very affordable in price, as are the replacement cartridges.
Good to hear the wife is coming around, sounds like she was outnumbered anyway, lol.
Enjoy your shaved dome and the exploration that comes with it.