Hi Steveareeno and

to DF!
I think that you're off on the right foot to question how to choose a good psychiatrist and therapist. Unfortunately, there isn't a cookie-cutter recipe for finding that. The answer is personal, depending on your needs, as well as their skills. To begin with, I think that a psychiatrist needs to be knowledgeable about medications. Some people rely on them to decide on medications and how to take them. Others want input in that decision. For some situations, a psychiatrist who is a good diagnostician is important. If you feel that you have been diagnosed correctly, that wouldn't be important. How easily you can reach the person or make an appointment are less important but might be a consideration.
I think that selection of a therapist is far less clear. There are different types of therapy and different approaches. Personality is a factor -- you need to find one whom you feel comfortable talking to. In one of the subforums there is a thread about bad experiences with therapists (falling asleep, taking outside calls, dismissive of problems, etc.). As with good points, some of the negative comments would probably be more important than others to you (or me). There are absolutely some behaviors that are not acceptable to me and others that may be somewhat annoying but not deal breakers. I had one once who would talk a little too much but she was so great in other ways that I overlooked the annoyance. Religion might be an issue. I personally don't want a therapist telling me to pray about it, but know someone looking for a "Christian" therapist (meaning wanting the religious perspective).
You might want to look at the types of therapy -- many therapists now use Cognitive Behavioral Therapy. Dialectical is another type that is used today. Cognitive or Behavioral Therapy are also practiced separately. Look over each type and which time "feels" right to you. Do you think you need to change how you "think" about things, how you behave or both. With anxiety issues also, CBT or DBT (Dialectical) would probably be better.
Another consideration might be how comfortable you are with setting goals or having no goals (other than improvement), following a pattern (such as inner child work) or dealing with issues as they arise.
I personally think that finding the right fit for you is paramount. I like getting recommendations. They often are "right on", but what may work for one person, may not be best for me.
Iowa