1st stage at N 47° 31.427' E 19° 01.644' 240 m. From here you can see the Danube with the bridges. You can find it easy from the bus stop at N 47° 31.255' E 19° 01.510' 210 m. The bus 91 starts from Nyugati palyaudvar metro station. There are two caves near this cache: the Jozsefhegyi cave at N 47° 31.440' E 19° 01.581' 230 m is closed for public, but you can visit the Szemlohegyi cave at N 47° 31.715' E 19° 01.550' 190 m.
The 2nd stage is in a small forest on Ferenc-hegy. There is a nice path through this forest wich starts at N 47° 31.620' E 19° 01.055' 250 m. (Other end at N 47° 31.610' E 19° 00.535' 265 m) The cache at N 47° 31.622' E 19° 00.836' 270 m is a very small box covered by stones under a tree with many stocks. Here can you find the coordinates of the last (3rd) cache. In the forest there is an other cave (Ferenchegyi cave) at N 47° 31.590' E 19° 00.575' 270 m, but it is closed, too.
The last cache is a regular plastic box in a small cavity (a very small cave) behind a stone at the coordinates you have found at the 2nd stage. The cache is close to the path, you do not need to climb. Nice view from N 47° 31.605' E 18° 59.935' 250 m on the Buda hills.
After vising the cache you can find a nice stairway beginning at N 47° 31.550' E 18° 59.825' 215 m. Following the stairway you can easy find the bus stop at N 47° 31.430' E 18° 59.585' 150 m. The bus 5 take you back into the city (Moszkva tér metro station or Március 15. tér close to Ferenciek tere metro station.)
Have a nice day in Budapest
VP and Mila