For me, it's right hand/shuter button side up.
I'm trying to get out of the habit of having my elbow sticking out like a sore thumb. I'm also trying to get into the habit of having my hand around the front of the camera and pressing the button with my second finger. This a little awkward, but does seem to offer a bit more support.
An ever-growing amount of photo-stuff and a never-growing amount of photo-talent.