Székesfehérvár is the largest city and county seat of Fejér county, Hungary. Located roughly 60km southwest of Budapest, the city is considered Hungary's first, as this was the royal seat of King Szent István (also known as Saint Stephan). Though most of the medieval city was destroyed by the Turks, it was rebuilt to glory under Maria Theresa Habsburg. The city is also located in between Lake Velence and Lake Balaton, making it an ideal stop-off between the two.
There are very frequent rail services from Budapest. First, there is an hourly commuter train service (labelled személy) to Székesfehérvár, stopping at almost every station (although, between Kelenföld and Érd felsö it only stops in Budatétény) and taking 80 minutes to arrive. Second, there is an hourly intercity rail service (labelled gyors and NOT InterCity) running to Szombathely and Nagykanizsa alternately, stopping only at Kelenföld on its way and taking 65 minutes to arrive.
All trains depart from the Budapest-Déli station and to not serve the Nyugati and Keleti stations. Check the most recent timetable at MÁV's website .
Direct connections from Budapest depart from the Népliget bus station. The journey takes roughly an hour and fifteen minutes. Prices are exactly the same for the bus and for the train. The only advantage then to taking a bus instead of the train would be that the city bus station is located exactly in the downtown.
The M7 runs just south of Székesfehérvár and is the fastest way to arrive. From the exit merge onto 63 which will eventually take you into Piac sqaure.
Since the city is 60km out of Budapest this is by far the most expensive option. If, however, you are arriving at Ferihegy and are going directly to Székesfehérvár, Zona Taxi  offers a fixed rate of 20000 Hungarian forint.
The train station is roughly 1km south of the town center and can easily be walked. Alba Volán  also runs frequent bus connections to the town center. One last option is to use City Taxi, at +36-22-311-111.
If arriving by bus the modern bus station is located just south of Piac square and only a short walk around the corner to the old town center.
If you are going to Bory's Castle you will need to travel either by car or bus. From the bus station take bus #26 or #26A and from the train station #32. Make sure to tell the bus driver you're going to Bory Vár because none of the buses will take you directly there and you won't know otherwise when to get off.
Szent István Király Múzeum
The main city museum is the King St. Stephen Museum, which runs several different branches and exhibitions throughout the city. Prices for each exhibition are fixed at 500 ft for adults and 250 ft for students.
Outside of Center
Bory Castle  is the town's most popular attraction. Located in an Eastern residential area the castle (really more of a mansion) is the work of Hungarian sculptor and architect Jenő Bory. The castle was built from 1923 to 1959 by several of Bory's students under his supervision. Today the castle contains a wide range of architectural styles ranging from Scottish, Romanesque, and Gothic. Most of the complex is completely open to visitors, and you can freely climb the towers, or walk through the gardens and among the sculptures--all originals by Bory. Inside are several galleries featuring paintings, also created by Bory. Closed during winter