I waited two years, thinking that I would need to gain experience. It wasn't necessary. Stonybrook has a rigorous program, as does LaGuardia, which has an EMS degree program. If you do NY Methodist, then I highly recommend doing human biology/A&P and pharmacology, both at the college level prior to enrolling into medic school. These courses are the foundation of a medical education. Schools like Methodist give you only two weeks of watered down A&P, and a few days to a week of pharmacology, covering mostly NYC 911 medications and touching on some common home meds such as insulin, coumadin, etc. I find NYC area medic schools to structure their program towards NYC 911 operations and protocols. LaGuardia and Suffolk CC (I think) have degree programs. That would be your best bet. North Shore's program is decent as well, but their buses are kind of slow, except for 46Y.
In any event, when you go to medic school,you can bridge the experience gap by doing ride alongs on busier buses. For Methodist in Brooklyn, if you want experience and volume, you would do 12X, 41Y, or 48W. If you want slow, you do 51V or 51W.
Living in NYC you're at an advantage compared to most of the country. As you may know, all ALS is double medic, and get only ALS job types. It makes for a steep learning curve. In most other areas, the ALS buses have to run everything, and may be slow. On one shift in the city you may get three to four legit jobs. In other areas, you may run a bunch of minor nonsense and get maybe one good job if you're lucky.