Guest Mike Cherry, perhaps you've grown tired of waiting and have gone on to other sources of information since you began this thread in March.
I did find a few links that may be of help. I'd be interested in whether you find any of the following information accurate or helpful. Regarding the levers, it is my understanding that like other levered harps, one tunes with levers unengaged.

General information including mention of the levers:
http://en.wikipedia.org/wiki/Bandura

Do you know what kind of Banduray you have?
http://www.bandura.org/bandura_history.htm
"Today there are 3 major type of banduras in concert use: The classical bandura, tuned diatonically with some 20 strings and wooden pegs; the Kharkiv bandura, tuned diatonically or chromatically with a single string mechanism and 34 to 65 strings; and the Kyiv bandura, with 55 to 64 strings tuned chromatically. "

http://www.encyclopediaofukraine.com/display.asp?linkpath=pages\B\A\Bandura.htm "Bandura. A Ukrainian musical instrument similar in construction and appearance to a lute. The bandura has 32–55 strings: the 8–14 bass strings (bunty) are stretched along the neck, and the 24–43 treble strings (prystrunky) run along the side of the soundboard. Before the 20th century the bandura had various shapes and tunings (basically diatonic), but in recent times it has been standardized. The modern bandura is usually chromatic, with a basic tuning in G major/E minor; the range is from AA to G3. The Chernihiv bandura is 109 cm by 51 cm in size. The bandura differs from other lutelike instruments by the presence of the prystrunky, on which the melody is performed (the bunty are used only for accompaniment), and the absence of frets. Each string produces only one note."
This link refers to a 51 string Bandura:
SUN HARP (Bandura) Tuning "...the bass strings - the highest is tuned to the E below middle C. from highest to lowest they should be: E D C B A G F# E D C B A. this is a diatonic tuning. (in ukraine, the basses are tuned differently - they're tuned chromatically, where the highest bass is C below middle C, and the rest are tuned chromatically down.)...the rest of the strings (starting at the lowest to highest) are tuned: the 1st is a C#, the 7th is the G below mid C, and mid C is the 12th string, etc. which should be the usual chromatic tuning we're all familiar with...

12 basses rest of the 51 strings.....

|||||||||||| |||||||||||| |||||||||||| c# d# f g# a# c# d# f d e f# g a b c d e f# etc. ^ middle C (gap) (gap) (on the bandura, there are small gaps in the string spacings, when you look at the strings across the bottom)"

It sounds like a fun instrument- enjoy!