If that galaxy your in is a little too spacey between sentient life then jump. Your eligible when an account is over 90 days old, and on one of the original worlds.
Free character transfers are launching April 26th announce Sony. You account must also be in good standing with SOE or you'll be told no. Corellia, Dantooine, Tatooine, Endor, Dathomir, Lok, Naboo, Rori, Talus, or Yavin 4 are the worlds to be on.
For more information about the service. Currently as of press time you can't because servers are down as is the wider PlayStation Network.