A mention of places that currently do NOT store luggage: The Port Authority Bus Terminal; LaGuardia Airport; and Newark Airport. Advance airline check-in does not function here as it does in some European countries, whereby your luggage can be delivered to the airline 24 hours in advance. Thus, an early trip to the airport would be a waste of time anyhow. Some foreign carriers do make special arrangements for their first-class passengers; inquire of the airline.