Hey Chocobloc! There is no Trait advancement in the game (although as part of kid creation you pick a Spark, which grants you an additional +1, and you can swap Sparks during the game). That said, if you're okay with waiting a couple of months, the second edition of the game is about to release during the fall, and it includes all-new rules that incorporate character progression more thoughtfully (much more akin to Exile's ruleset).
Let me know if you have any other question, and I hope you get to run the game! :-)