Book an international flight to London first, and then take a smaller European airline from London to Amsterdam. Search for online ticket sales with European airlines like Ryan Air and Easy Jet.
Book a flight during Amsterdam's low tourist season, which is before April and after July. The peak season coincides with the blooming of tulips, for which Amsterdam is also famously known.
Take the Connexxion Schiphol Hotel Shuttle from the airport into Amsterdam's downtown area. This hotel shuttle makes stops at more than 100 lodging establishments.
Buy a ticket for Amsterdam's Canal Bus or Museum Boat (see Resources) to travel throughout the town inexpensively and quickly. These two transportation methods navigate the city's canal system to deliver you to the famous sights quickly and with little frustration.
Book a ferry ride to arrive in Amsterdam from Scandinavia on Scandinavian Seaways (see Resources). Though the journey is longer (approximately 15 hours), the price is significantly less than booking an overnight hotel in London, and the trip includes many amenities you may want, such as wireless Internet, a bar and a sleeping cabin.
Purchase a European rail pass, and travel to Amsterdam cheaply by train from a number of capital cities such as Paris or Berlin. Take advantage of discounts offered for students, educators and long-term travel.
Purchase an inexpensive bus ticket from Eurolines (see Resources) that will drop you off at Amstel station right outside Amsterdam. Take a metro ride into Amsterdam's downtown area.