I don't blog regularly, or do anything like that, but I do make videos from time to time, as a review or sometimes just as a tutorial to help people out. I think the trick, if there is one, is to pretend the camera is just a friend you're talking to. When I do stuff like this, literally have a conversation with the camera, and I even might imagine some responses back. It helps to imagine the direction the "friend" might be tugging you in. Anyhow, that's my thing.
Incidentally, I have a stutter. Most people I know completely forget about it after being around me for a little bit. Unless it's really awful, and mine gets pretty awful if I have any sort of alcohol (stutter control is the first thing to go!), I find if I just ignore it and say what I have to say, most people start ignoring it to. Most of my friends wouldn't even say I stutter, but I know I do and I know they hear it. It just doesn't register, for whatever reason.