Obviously, funding is good and if you want a PhD then you should go to Princeton, obviously you're very good so if you applied to PhD programs after getting a MS you would probably get in where you wanted, but it can be harder to get into top PhD programs if you already have a MS...they might wonder why you didn't just go for a PhD and so forth, and they might want you to take additional classes.
My advice: visit. Maybe you'll like one of the departments better.
Also, congrats!