You can deposit your luggage at Fussen Railway Station, about 3 Euros, which is cheaper than Munich Station, and then you can take the bus to Neuschwanstein.
Bus to the Neuschwanstein
bus stop right next to the train station. The bus connection to Neuschwanstein Castle in Hohenschwangau is just 4 km away. Take bus 73 (direction Steingaden / Garmisch-Partenkirchen) or bus 78 (direction Schwangau). Exit at Hohenschwangau in Schwangau (Schlösser): It's easy because everyone leaves the bus there. The bus runs every 30 minutes. The travel time is 10 minutes. The one-way bus is 2,10 euros - take the bus to the driver.
Arriving at Neuschwanstein
You can walk to the ticketing point in Swan Castle for about 400 meters, you can buy two kinds of tickets: Royal ticket (you can see the new Old Swan Castle - not recommended, Hohenschwangau is not fun), and ordinary tickets ( Can only see Neuschwanstein). Then you will be printed with your visit batch and admission time. Don't miss it, miss it. From the ticket office to Swan Castle, you can take bus, carriage or walk, because this road has a good view, it is recommended to be young. People walk, about 20 minutes. (However, the carriage is very fun, honeymoon students can experience)