New York Area (EWR, JFK, LGA) and Philadelphia Area (PHL)
Newark Airport (EWR) has train options to Asbury Park, and is ~50 min drive JFK and LGA are each ~90 min drive to Asbury Park, and subject to NYC traffic PHL is also ~90 min drive to Asbury Park
NJ Transit - North Jersey Coast Line
From EWR: Take Airtrain from Newark Airport to Newark Penn Station. There is a direct NJ Transit line (North Jersey Coast) from Newark Penn Station to Asbury Park Station From NYC: Take NJ Transit from New York Penn Station to Long Branch and transfer to North Jersey Coast line to Asbury Park
Parking
Cross & Orange does not have a parking lot; however there is plentiful street parking in Asbury Park Paid parking info is viewable here (sorry, can't figure out how to hyperlink): https://www.cityofasburypark.com/366/Parking-for-Visitors