Yes, the SCA or the MSR are going to be helpful. Years back ('87) I too went a Faire, but it was out the Island. It was hosted by MSR. Evidently there were some politics between the two groups- but I never learned the differences.
I did have an opportunity to take fencing and broadsword lessons by an MSR member. He taught on Saturdays in Flushing Meadows Park. It was fun to learn from a former Olympic fencing alternate. At the time the historic standards were too much for me so I joined FALO, which is based on community instead of historic accuracy. (It's also Fantasy based- dwarves, elves, magicians and such)
Try to attend the Pennsic Wars.
http://www.pennsicwar.org You'll have a blast. There are a ton of vendors, and the community is amazing.