I want to know what is the difference between a psyd and a phd when choosing a therapist?

Not much: Psychologists with a phd typically did more research for their degree but i don't think this matters much when a client is looking for a therapist. What matters more is that psychologist's credentials, areas of competence and the connection you feel with that person in the first few sessions. I would keep interviewing therapists until you feel safe to talk honestly about your life.

Therapy vs meds: Speaking very generally, most psychologists hold either a PhD or a PsyD degree (I hold both) and practice psychotherapy. Psychiatrists hold either an MD or a DO degree, and they prescribe psychotropic medications, and generally do not do all that much therapy these days, but years ago psychiatrists would do both. Social workers, psychiatrists, and psychologists all do counseling/psychotherapy.