I started by searching for "psycholgist MyTown MyInsuance" and most of the first few listings were from the same large source where they all seem to be listed (not sure what policy here is about links to that site, but search and ye shall find). I click a listing to get on that site and then do a new search with my location, my insurance and the disorders I would like expertise in. I go down the list reading bios, searching for ratings, looking at qualifications and getting a sense of whether it is someone I should consider. I get down to a short list pretty quickly. Then it is gut feel as to which one I call first. If the therapist has openings that work and booking the appointment is not unpleasant, I do a session. My copay is $20, so making a mistake isn't too costly. I do this in the space of an hour or two; I am not one to commiserate over decisions like this. I gotta do something, even if it's wrong.

EDIT - I see others mention psychologytoday.com so I guess it is okay to say that is the site I used.