The fingering of this piece is very simple: the single notes with 2, the octaves with 1+5 (in some cases the single note with 3, the octave with 1+4)
To understand the fingering, play the piece with all octaves accentuated (in the left hand single notes accentuated)
There is always pedal to use, so you don't have to play all notes with fingerlegato.