I am a dental hygienist who worked with TMJ patients when I was working. It is very complicated. The Gelb Ctr.is wonderful but you are getting the Cadillac of tx. I'm sorry I don't know a name of a TMJ specialist in Manhatten but most good periodonitist or oral surgeons are the place to go.
Trying a night guard (splint) is a good place to start to give you some relief. It gets the muscles out of spasm so they can rest, while protecting your teeth and will help the headaches. You can put it in your mouth any time during the day if you dfind your self clenching. My daughter's is worse as she is commuting to work. Of course, she does not listen to her mother to pop the guard in! She has already cracked a tooth.
Sometimes surgery is necessary but I would start with a less costly guard. PT, chiro, etc are difficult with Lyme becsue the adjustment don't hold. The only one I would Rx is craniosacral therapy ans they should give you gentle exercices to do everyday. This actually helps the Lyme infalmmation as you feel a little, or a lot, of detox after as I did. Going thru surgery is difficult for us Lymies but if it is a structural issue it may be necessary.
Meanwhile no hard foods, bagels, raw veggies, etc. Lots of good soups. I would also add acupuncture if you can afford. Try a few sessions. If you have not the issue too long Acup. seems to help but not if it is a long chronic problem which many Lymies have. It really helped my back pain but not my long aching shoulder pain.
Hope this helps. Please feel free to contact with further questions. You are hearing various opinions because TMJ is a very tough issue to resove and is different for everyone. A good bite adjustment is imperative.