The famous Buda Castle is about 10 min stroll away and the Margit Island as about 15 mins by tram that is in the heart of the city with its large, beautiful gardens and huge trees.
The flat is just next to Mammut shopping center (shops, food, cinemas, clubs, etc.).
You can find a huge market (Feny utcai Piac) with wide selection of produces and other food products just opposite the house, great place to shop for your lunch or dinner!
Millenaris Park is 2 minutes away with playground, Life Concerts and exhibitions all year around. The pedestrian zone is around the corner with cafes, restaurants, museums anything you might need is within 5 min walk, this is the Center of Buda side! City center is only 3 stops by red metro-line.Spas are about 20 min by tram, so you can indulge yourself with the different steam rooms, swimming pools in gorgeous historical public bathes. If you want to hike you can take one of the many buses from Moszkva square that goes into nice destinations (15-30mins).
The Airport is 1 hour (3eur/person), the Keleti railway station about 30 mins (1.5 eur/person), the Nyugati railway station is about 20 mins (1.5 eur/person) away from the flat by public transport. If you take a cab that reduces the time to circa 40 mins, 20 mins, 10 mins respectively and the price is about 18-20eur, 12eur and 7eur respectively. (In the case if you take a cab both the time and price can vary depending on traffic).