I don't personally use a digital camera, but here are a few tips for digital camera. (I kind of made all of this up on the spot, so it's not a complete list.)

- No overkill.  Just because the camera can shoot at a resolution of 2272 x 1704 pixels doesn't mean you should shoot at this resolution. For videos, usually 1024x768 pixels is high enough for HD resolution.
- Hook it up. If you can connect your camera to the PC directly and take photographs using software on the computer, then do so. It's pretty much always more user friendly than animating without software.
- Put everything on manual. This one is pretty obvious: if there's anything on automatic, then the color, focus, zoom or something else will change in between frames giving you flicker or other bad stuff when you convert the frames to video.
- Don't touch the camera. If you can't hook up the camera to the computer directly, then don't take pictures by pressing the button every frame. Also, try not going into the camera's settings menu while animating. Touching the camera will increase the likeliness of it moving, resulting in a ugly shaky film at the end.
- Use software. Especially with stop motion animation, you'll want to use (animation) software so you can check whether the positions of the minifigs are right from one frame to another. If you can't hook up your camera directly to the PC, it would still be a good idea to point a webcam to the LCD screen of the camera so you can take low quality "preview" frames with the webcam, and then high quality pictures with the digital camera.

I think the Canon Powershot series support being directly hooked up to computers, so that makes things a lot easy.

Can it be hooked up to a mac?