Hi Scarlati,
I think the best results come from a mix of therapy and antidepressants. For drugs, a psychiatrist is what you need. For therapy, either a psychologist or psychiatrist would work. When you 'shop' around for docs, you need to ask specific questions regarding what you're looking for. If you like CBT, (guided imagery, in vivo exposure, challenging faulty thinking, diaphragmatic breathing, etc.) it works great for most people w/anxiety related disorders.
I've never heard someone not charging for an initial session. In fact, most 1st sessions are More expensive then the subsequent ones. You can ask the doctors if they will work on a sliding scale, meaning adjust their cost according to your means. Most docs devote 10% of their business to sliding scale, the successful ones that is.
Dr. Young is a force in the CBT field for anxiety disorders. He and others have written great books on anxiety related disorders. CBT requires some homework, so be prepared to work a lil to overcome your anxiety.
I wish you the best,
Dave