Check with your travel agent as many airlines offer charter services to both Puerto Vallarta and Manzanillo during the high season.The most direct route is to fly to Manzanillo Airport ZLO. Manzanillo Airport is approximately 45 minutes south of La Manzanilla. You can rent a car at the airport from many of the well-known US car rental companies. The rentals are on-site at the airport and reservations are recommended. Alternatively you can take a taxi from the airport. Taxis are approximately $50 USD each way and there are plenty of taxis available as you exit the airport. There is no direct bus service from the airport to La Manzanilla. See here for detailed La Manzanilla travel information
If you fly to Puerto Vallarta there are two first class bus companies driving to Melaque which is 20 minutes South of La Manzanilla. (http://www.lamanzanillaho...) you find more information on bus-schedules to and from La Manzanilla.