Mgriffin:
Dry firing any .22 caliber revolver that is not specifically designed to be dry fired can ruin it in very short order. Unfortunately, there isn't a whole lot that you can do to improve the trigger pull on a J-frame. If you have the narrow, serrated trigger, you can swap it out for a smooth faced, combat trigger, or you could add a trigger shoe - but you need to be careful doing this as it could contact the surface of a holster, gun rug, etc. and accidentally fire. Jughed440 offers great advice regarding the screw anchors. I have used real .22LR dummy rounds, and they work great, but they don't last very long and actually shatter after a few uses.
I have a Model 34-1, the blued steel version of your Model 63, and I cleaned and lubricated the interior, swapped out the serrated trigger for the "combat trigger", and put aftermarket grips (Herret Shooting Masters) on mine and it helped considerably.
Best of luck,
Dave