By Metro
Within the city centre of Budapest, you will find there is local metro stations "BKV" throughout the capital and within proximity to many tourist attractions. Tickets are available at kiosks and at automatic ticket machines which mainly require coins. If buying single tickets remember that they must be validated punched at the machines in front of the escalators, or if travelling on buses and trams at the machines inside the vehicle. Single tickets are valid for one journey on one service, so if you change trams, you have to use a second ticket. If you make only occasional journeys, save by buying a book of 10. However, be warned that many ticketing staff do not speak English and some times it is best to use the available ticket machine which has an English option. However, if you do plan to see a number of attractions on BKV, it is best to get a 24 hour travel card. It is valid for a full 24 hours from the time of purchase. There are also 3 day and weekly tickets. If you buy a three day Budapest Card, this includes public transport and entry to many museums. Many travellers will find that there are metro ticket checkers virtually at every stop. If you are caught with invalid fare, you will be asked to pay a fine of 6000 HUF on the spot or you'll will be taken to the police station. Alternatively, they may ask you for 40 Euros which is significantly more than 6000 HUF.
When you approach the ticketing machine, you will see a number of options. Short fare is intended for only 3 stops, regardless of which train you catch or change to. Regular fare instructions is as listed, but be sure to validate your fare or it'll be considered invalid. For more information: (http://www.bkv.hu/en/type...)
By plane
Hungary presently has no regular domestic flights. As Budapest lies in the center of the country and pretty much any point can be reached within three hours by train or bus, there isn't much need for scheduled domestic flights.
However there are many opportunities for people with a valid pilot's license to rent a plane and explore by air.
A Pilot's Academy of Malev Flying Club
(http://www.malevpilotaisk...) +3620565-6467, Dunakeszi. Lightweight gliders and other stuff.
By ship
There are several scheduled riverboat and hydrofoil lines operated by MAHART PassNave Ltd. from the capital city Budapest to towns in the Danubebend, like Szentendre, Visegrád and Esztergom. (http://www.mahart.info/we...)
In the capital city there are several sightseeing and night cruises opereated by MAHART PassNave Ltd. and other shipping companys, like Legenda Ltd.
Although from May to September there is a good hydrofoil boat connection (http://www.mahart.info/we...) between Vienna and Budapest.
There are some ferries on Danube and Tisza but their undetermined working hours make them non-recommended. You can trust the ferry on Lake Balaton, though, for a modest price.