Considering the video, I'm pretty sure Handymen are humans whose head and vital organs were put into these big, steampunk like suits called Autobodies. Surely there will be ones with mustaches, but they're individual people. Not that they won't reuse models. But there should be Elite kind if this pertains to putting humans in giant bo-
Holy crap wait, that's what Big Daddies are... lol. The connection is coming together nicely, I didn't even realize I was making this connection until that moment. And the mustached ones were part of advertisements to say they're good guys, which also seems to connect them to Big Daddies. I still think there should be a hidden tear which opens up into Rapture.