The hotel is not in the city center, but with a taxi you can easily reach it, or you can walk for 20 minutes, and you will be in the Vaci Street. You can also use the Castle Bus that will take you to Moszkva Square, and from there you can go with the red metroline.
Find a cheap hotelroom at Hilton Hotel Buda
booking.com – hotels combined
Hilton Hotel Buda is a Budapest Hotel located in Budapest’s 1. district