I sent you a PM with a link to a video with both our cameras.
For most purposes, the differences would not be noticeable. The Black version is supposed to be better in low light, and it has more FOV options meaning you can set it to a narrower view or a super wide view.
But the white or silver versions are made for high speed sports (such as racing) too and if you really don't want or need the extra features and don't expect to do a lot of complex editing, you will likely be just as happy with the less expensive version. The least expensive one (the Hero 3 White) offers High definition, 1920 x 1080 resolution, at 30 fps which is what is tyipcally used for Blue ray hd video. Whichever one you get, you will likely be happy with the video quality. I would recommend practicing a lot with it first, getting videos of just about anything, that you will erase after getting used to the features of the camera, and how it operates, so you will be ready when you want to capture important video.