I have a very good psychiatrist who is also my psychotherapist. I see him twice a week for therapy, and he also manages my medication. He has gone through the same training as other licenced psychotherapists, on top of his psychiatric specialisation in med school.

Whether it is easy to find such a person probably depends on where in the world you are located. Since you mention insurance I suspect you are in the United States?

For me it's great to have both a pdoc and a therapist in one person, though others on this forum have treatment teams which work well together, so that is also a possibility.