Because you are a recent arrival in NY State (i.e., here less than one year), Kentucky, rather than NY, would have jurisdiction over any divorce or custody dispute you may have. However, I strongly recommend that you mediate this matter with your husband
And reach a mutually agreeable arrangement, rather than simply disappearing with the three girls.
Please call me at 212-370-1660 to arrange a meeting for the 3 of us to discuss this matter at greater length.
Leonard Weiner, Esq./ Divorce Solutions