For nursery school, daycare, etc. I don't think it has to be so complicated. We just sent a quickie letter into day care simply stating that vaccination was against our religious beliefs. At this point, they don't really care. Of course, I am assuming a private nursery school, and not part of the public school system.
I am in the process of writing our exemption for Kindergarten right now. That is more complicated. For something like that, I strongly recommend contacting Gary Krasner.
We are in New York state as well.