I recently built a new PC, and transferred all of my games to it. However, when I transferred FTL to my new computer, I found that all the ships that I had unlocked were now gone. I have a non-steam copy bought directly from the website, so I simply copied the entire folder from my old computer to my new one, thinking that it would all come along. This does not seem to be the case, however.
How do I transfer all of my unlocked ships to my new computer, without having to unlock them again?