Coming to the city on a Sat. morning on Metro North and arriving in Grand Central Station. Would like to do Statue of Liberty and 9-11 memorial in one day if possible.Is there a good tour I can pick up near Grand Central or would I be better off going to Battery Park and doing it on my own. Do I need advance tickets or can I get them that day? Will be staying at the Algonquin on W 44th. Any advice on a good place for breakfast near there?