I have used mason jars a couple of times and wholeheartedly rejected using them ever again (obviously one lapse of the commitment).
Given the mouth is narrower than the jar and, secondarily, most of the jars are tall relative to the width - I found it to be a pain to use them. Hard to stir things up, get stuff from the bottom out of it and overall unwieldy.
I use the containers Bill has in his film. I have had a couple of overflows but, beyond that, I have really liked using them. I think that a plain Gladware type container (glass if you want to be talked into the plastic not being ok with the starter - humbug!) and even put a little pinhole in the lid for gas to escape.