While Terminal B at LaGuardia Airport undergoes its $4 billion facelift, a smaller terminal on the opposite side of the airport is getting a renovation of its own. When construction began on Terminal B, many airlines relocated to neighboring terminals with. JetBlue Airways moving to Terminal A, LaGuardia’s historic Marine Air Terminal … Similar to JFK Airport’s Terminal 5, one of JetBlue’s flagship hubs, passengers check in and tag their own bags using the kiosks or can head to a customer service agent if they need further assistance.