I also like to have a strap, just for security. I use a simple lanyard-type strap from a point-n-shoot - it's the kind with an elastic wrist band and a slider to secure it. Five bucks from a US source, or four for $5 from Hong Kong. If I'm feeling especially insecure, I use a pair of them. One nice thing about such a simple strap is if I am using a manual-focus lens, I can move the strap over to the left hand, since that hand will be holding on to the lens anyhow.
Back to grips - for two-handed holds, PF member Monochrome prefers to cup the camera with the left hand - I like that for manual focusing, but I also like to brace the camera in the L of my thumb and forefinger for AF. With the right hand doing finger-on-shutter and thumb-on-shutter, there's at least four ways to hold the camera. Lessee if this works - I haven't made an animated GIF in years...