Here's a fairly brief description of all the initials following the therapists' names:
http://www.whatsyourgrief.com/therapist-credentials/
A psychiatrist or a therapist with an MD after his or her name will be able to prescribe medications in the event they are considered appropriate for you. The others do not prescribe medications but will have many other ways to help.
www.healthgrades.com is a great place to look up doctors' credentials, type of practice (for example, family counseling, children only, adolescents only, elderly patients only). You can read people's opinions, and see general info about a therapist (age, gender, specialty, experience, education, etc).
If you have a doctor that you trust, you can ask the doctor for a recommendation. Your doctor should know something about your general health and whether he or she would recommend a psychiatrist or psychologist for you.
If you have insurance you can get a list of providers that contract with your insurance and use that list to start with. But beware, even though your insurance company lists a provider, that provider may no longer take your insurance. A lot of rules have changed.
Don't be afraid to let a new therapist know that you are searching for someone to come alongside you and help during this healing time. During your first appointment, take note of their promptness, availability by phone or email for questions, billing practices, their attentiveness and willingness to listen to you. You can usually speak with their office staff prior to making an appointment to ask if they're taking new patients, whether they bill insurance or require self-pay, what kind of practice they have.
And I'm glad that you're seeking help. That indicates strength! I hope you find exactly the person you need.