I use a tripod whenever possible. Only when moving around on the floor to get some good shots of my son I shoot handheld. Actually I did some shots of shopwindows just before christmas with Fuji T64 film and 85mm, 1/8sec @1,4. They came out tacksharp.
I tried some handheld shots of my son sleeping with the P6X7 and Delta 3200.
A couple of those came out blurred. I think they were shot at 1/60 sec, f/4,5, darned 75mm. That P6X7 is definitely not a lowlight camera.