Personally, I leave strings on longer these days (even though I know that they should get changed) and I use the GHS Fast-Fret to bring back some life to the old strings.
There was a time where I would change them before and after every show but it really became such a PITA over the years due to having a Floyd and needing to do all the tuning and readjustments.
I remember the first time I changed a set of strings on a guitar that didn't have a Floyd.
It had taken me less than 10 minutes (including cleaning the fretboard and guitar), and it stayed in tune.
I started selling off all my guitars that had Floyds until I discovered the blocking of trems and the option of doing it just one way.
I never looked back again at having a full working Floyd