If you are flying to Holland, there is a good chance that you will land at Schiphol Airport near Amsterdam. From here, you can easily travel to pretty much any destination in Holland by public transport (or OV, openbaar vervoer, as the Dutch call it).
Train or bus?
The railway station for national and international connections is directly below the airport. You simply get on an escalator down to the railway station. Directly outside the airport is a bus station. So it is quite easy getting on a bus or train from Schiphol Airport.
Amsterdam Travel Ticket
The easy all-in-one Amsterdam Travel Ticket is the perfect ticket for exploring Amsterdam. Every ticket includes a 2nd class return ticket to and from Schiphol Amsterdam Airport by NS train, to any station in Amsterdam. Combined with unlimited travel throughout Amsterdam on all trams, buses, metros and ferries operated by GVB (Amsterdam transport company).
Spending the night at Schiphol
While there are many train and bus services that operate through the night, it may be easier for you to spend the night at Schiphol. There are several hotels at and near Schiphol that run their own shuttle service to and from the airport.