You can refuse the eye drops, the vitamin K, and the Hepatitis B shot, all of which are routinely done while in the hospital after birth. CT has 3 types of exemptions, philisophical, medical, and religous, although you really don't need to say anything other than "no thanks" to any of the procedures. I don't know about NY...I've heard some crazy stories about CPS, etc, so I don't know what the deal is. I'm in MA, and I refused everything with my ds. All I had to say was "no".