1) Have enough CPs for the ship you want.
2) Be standing on the surface of a planet (in a city is fine, in a ship/vehicle/facility is not).
3) Click on your CP total, then on Exchange CPs
4) Enter the AMOUNT OF SHIPS you want in the box next to the ship you want (not the amount of CPs).
5) Hit the Exchange CPs button.
"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."