well, all i can say about the floyd rose to any propsective buyer is it si a matter of patience and doing things 6 times over.
blocking of the trem is vital, i used a wooden ruler that went underneath as i didn't want to damage the paint
be prepared to change the number of springs behind the back plate
and also to tweak the screw that hold the spring plate in postiion.
keep the neck unlocked untill your ready to use the fine tuners
stick the new strings on (min. of 3 windings) tune up each string roughly, this will end in all strings going out of tune, so do it again and you'll notice it will become easier and easier for each stirng to stay in tune.
at this point the trem unit shoud be parallel to the body if its dipping one way or the other you may need to remove or add another spring or tweak the screws holding the spring plate.
when strings are in tune, give em a stretch, hold string at 12th fret and give a gentle pull from the fretboard repeat a few times, re tune and lock down the neck.
don't use the tuning heads from here on as you'' snap strings
use the fine tuners (set this so these can sharpen more than flatten i find the strings need to be sharpened rather than flattened throughout their life)
wack guitar lead in, and boss MT-2, smooth out that tone, insert trem arm and wack out some lead with the pinch harmonics with pitch dive

and then notice how the strings are still in tune, this early on when you go back to some chord action....
to the guy who posted about his bigsby, i ahve one on the les paul i have never had any problems untill i changed the string guage so i went back to 10's.
hope this mini guide helps a little....