Usually, psychiatrists give you medications. Few psychiatrist do psychotherapy but it's rare.
Psychologist talks to you and helps you think differently. Looks like that's what you need. I have hypochondria as well and fear many diseases and am looking for a psychologist. I don't know if psychologists can prescribe medications.
As for DP and DR, which I also have, I find medications that are helpful. I know, I don't like put chemicals into my body either but I have been on them for so long so IDK if I could function without them.
i told my family doctor that i dont want to take medications and he told me that the psychiatric is not gonna prescribe medication necessarily. So i dont really know he already booked an appointment and keeps telling me hes a good doctor and i should see him. Well if he gives me any kind of medication im not gonna take it, its not like hes gonna force me to take meds. I guess if i ask him to he would write me a full physical examination and maybe when i get the results it would make me more calm and help me with my DP/DR.
Price, if all you want is therapy. Psychiatrists charge a lot more, even though psychologists have more education in psychology.