Record Skype video using a
Skype recorder like
Replay Telecorder for Skype (if you want to record both parties of your video call).
See the following thread for more:
Skype Video call recording: How to record both parties
You can also use
screen video capture software like
Replay Video Capture (if you only want to record your video call partner).
And then use
audio/video converters like
Replay Converter to convert to the format that you need (like iPod, iPhone, BlackBerry, MP4).