Hi KeenTeen
I've had some success with a Kodak 'Z' series camera too (I have the ZD710)
Here's a few tips....
First off, use 'spot-metering' mode for the Moon - failing that (I'm not sure if the 650 has spot-metering) set the exposure compensation to -2 stops.
This will stop the bright Moon from glaring.
Then make a movie of the Moon, about 30 seconds at full zoom
Next step is to covert the movie file from the camera to an 'avi'
I use 'Bink Video' for this - free download.
Then you'll need another freely downloadable program called 'Registax'
Get version 3 of Registax if you can - version 4 starts to get a bit complicated if you aren't used to 'stacking' software.
Then load the avi into Registax, and let it guide you through (it has obvious green highlights)
Registax looks at every frame in the movie (hundreds) and in a few minutes it stacks the best ones on top of each other, to build up much sharper images than you can get with a single shot.
When you get to the bit with the sliders - use only the second one down, and slide it across to get a nice sharp image.
Then save the image as a jpg
Voila! - lovely sharp still images, from a movie file
As an example - here's a random frame from a movie file I made of Saturn through a telescope - with a 'Registax' processed still for comparison.
http://i35.tinypic.com/2qcp34j.jpg
**note**
The above pic wasn't done with my Kodak ZD710, but with a webcam, at prime focus in a telescope's focuser.
However, the principle of sharpening is the same...
avi movie file, processed through Registax