There is a file called briefingiconsV3.jpg that comes with the install. From there you can see the icons and the settings you need to get them.
Here's an example: To create a B5 icon first set the ship type to something that is terran in the tables (like B5 is, or some other EA ship). Then switch the icon image to "cargo", like it says in the .jpg. Now you should have a B5 icon.
Another example: If you want the logo of the PSI corps to show in your briefing, set the icon ship in to something Shivan (like Drakh or Shadows). and set the icon image to "LargeshipWing", like it says in the .jpg. And now you have the PSI corp logo.
You can use the support ships T/V/S to get the race correct, like Orph3u5 said. It's easier that way.
To get the icons move, do this. Place the icon you want to move, and then go to next briefing stage. Move the icon somewhere. And there! A moving icon. You might also want to change the camera transition time so the camera moves more slowly, thus making the icons move slowly too. Play around with it a bit to get the hang of it.