The free character transfer service that kicked off on Jan. 13 was supposed to end on March 31, but has now been extended three months to June 30. So if you have a character that was created on or before Dec. 11, 2008, and you're looking for a new home, check out the list of available "transferred from" and destination galaxies to see if you're eligible. The page also contains the answers to some frequently asked questions.
If you're still looking for more information, there's a step-by-step quide to transferring your character, which can be found here. Here's one word of warning: "To prevent issues with a transfer, please close the game immediately after completing the transfer process and do not log into ANY character on that account for at least TWO HOURS after transferring."