Hi! I am a social worker in NYC. A lot depends on the cost of your tuition/how much student loan debt you will have. For instance, I think Columbia tuition is about 20k more than Hunter. You would have to work for three years before you can apply for your clinical license in New York State, in an OMH-approved workplace. I would day the average starting salary for an LMSW (Licensed Master of Social Work which you obtain right after graduation) is around $45K. After you obtain your clinical license you can supervise LMSW's and charge for that, as well as see your own clients, so the potential for a much higher income is there. It is also possible that you would get a salary increase at your full time job, but it probably wouldn't be more than 5K or so.
$29 K would be more of a BSW-level salary, or even no degree required.
The entry pay at my organization (for someone with no masters level work experience) is $47K, plus we have excellent benefits/time off and they pay for my metro card every month.