Here is a pretty good article. I have to get on top of these, I have a batch promised and my lathe is torn down so I can reshim my bearings. And dangit! McMaster-Carr sent me the wrong shim I was waiting on today! [!]
Yep the bowl is mine, and I used an egg chuck almost eggs-actly like the one in the link. Do be careful not to get knuckles involved with the band clamp![xx(] I put a wrist band like ballplayers wear around mine.
I used a chuck made from bamboo and found that the springy wood worked eggcelent to hold the egg. Just make sure you leave that chuck end on it so you can line the egg up in the egg collett. I did not on my first and what a pain it was to line it all up. 
Good idea on the sweat band, Now where in the 1970's can I find one!! LOL