You can see all of Budapest from different spots all around Normafa, which you can reach by bus or by a historic train (every 1/2 hr.). On the way up you should stop by Szamos, which sells some of the best baked and sweets in all of Hungary. Get a “sajtos croissant” (Crosiant filled with cheese, if you can afford it buy a dozen) perfect for any munchies you may need to partake in while cathcing the beautiful scenery while getting some fresh air in, as Budapest air can get pretty tainted at times. I used to work up in Normafa; but most of the area is high wealth residential.