My question involves a marriage in the state of: CT

I am thinking to file a divorce. We are currently living together in CT, and our marriage is about 1 year 6 months, with a 5 month new born baby. We both are working, she is working in CT, and I am working in NY. Now, my soon-to-be-ex is moving out of the apt, and I am thinking to move back to NY to be close to my working place. Which state/court should handle our divorce case, NY or CT? Also, as I am to move with the baby (we hired a nanny and the cost is on me), what should be the visitation schedule before the divorce finalized? Thanks!