The main train station in Amsterdam is right in the center of the city. If you are arriving for the first time, the major Tourist Office is right across the street. They can help you with all your needs. Private transfers can be arranged to meet you at your train and take your family and baggage directly to your hotel. If you prefer public transportation, there are trams that serve the area right in front.
Arriving and Departing Amsterdam
The main airport serving The Netherlands is called Schiphol Airport. (https://www.schiphol.nl/en/) It is also a gateway onto the European continent and has connecting flights all over Europe. It is one of the most efficient and pleasant airports in Europe. Located just nine kilometers west of the city, it is easy to get in and out of town. Be sure to check what is required for entry into the Netherlands regarding Covid and be sure to have your vaccination card or test results handy.
It is easy to navigate through the airport. It is generally our advice after a long flight especially with children to have a private transfer waiting for you to whisk you off to your accommodations. Taxis are available. Departing the Netherlands for your trip home, give your self plenty of time. There are many places to eat and shop to pass the time until departure. There are also convenient airport hotels that offer shuttles but book early.
Arriving by Car
It is generally my recommendation when traveling between major cities by rental car that you pick up and drop off cars at the airport location. Amsterdam is very densely populated and is brimming with bicycle riders. If you want to pick up or drop off your family at you accommodations, do that and then use the airport location for permanent drop off. After completing your paperwork at the rental desk, take a short taxi ride back to join your family. Roads in the Netherlans are excellent but there can be rain, speeders and traffic so try to give yourself the appropriate amount of time you need to avoid stress.