Hello, for all those of you who have passed the New York Bar Exam, do you know on which specific Appellate Division of the New York Supreme Court (whether it is 1, 2, 3 or 4) do we have to apply for admission? Is there a way to know which appellate division is the right one for me?

That depends on where you live. Figure out which appellate department you live in. If you live in another state or a foreign country then you apply to the 3rd AD, located in Albany. You will need to go there for your interview and swearing in (both on the same day). The 3 AD handles applications faster than any other department anyway.