This is partially related to another post.
Here is the fingering for the diminished scales...
Right hand:
1. When starting on a black key, use the 2nd or 3rd finger.
2. When starting on a white key, use the 1st finger.
Examples....
E (1), G (2), Bb (3), Db (4) *repeat going up*
Ab (2), B (1), D (2), F (3), Ab (4) *repeat fingers 1-4 going up*
Eb (2), Gb (3), A (1), C (2), Eb (3), Gb (4)
...basically, your thumb will always land on a white key.
The left hand is a little trickier...
Here are some examples....
E (5), G (4), Bb (3), Db (2), E (1), *then use fingers 4-1 going up*
Ab (2), B (1), D (4), F (3), Ab (2), B (1)
Eb (3), Gb (2), A (1), C (4), Eb (3), Gb (2), A (1)