I was facing the same choice...I went PSA. So far so good, I like the routes out of DCA and the people in DCA are good. Reasons have already been mentioned....plus Republic was still in bankruptcy when I was making my decision.
If you go PSA, find one of your friends to "sponsor" you before you apply and you can split the $5 referral bonus. Might be an extra 1.5k after taxes.
Good luck!