Well, I finally got the battery door open, as soon as I gave up on finding a "lever" and put my thumb in the indentation, and pulled the cover back clockwise. There it is--the battery! For the life of me, I still don't see anything that looks like a "lever," but it doesn't matter now.
As for depth of field and aperture, I'm very used to thinking about those things, since my favorite camera is totally manual (ditto with my 4x5). I'm just having fun seeing such things automated for the first time. I don't know how much use I will make of the feature, but I'm impressed with the "coolness" of it.
Since I have a strong preference for medium format, I will probably use the EOS 3 more for rapid, hand-held grab shots, where some of the automated features might be handy. In other words, the sort of shots which are a little harder to do with the Koni-Omega (although that too is a very rapid camera to work with). I expect that I'll keep the camera on aperture priority most of the time.
I have the 35mm/f2, and plan to walk around South Bend with it and see what I can do. I suppose that the next lens after that will be the 85mm/f1.8.