Another question: should I change 1 string while keeping the other 5 on tension, then move on to the next one, or remove all strings and then fit the new ones one at a time? Does it even make a difference?
Thanks for your help!
With a floating tremolo bridge, i tend to find it easier to change one string at a time.
If you decide to take off all six at once, one thing I would advise is: whenyou put on each new string, start with the lower heavier ones and keep the tuning slack, about two full tones down from your final target, until you have all six strings on, then slowly bring the tuning of all six up a semitone or so at time.
What you don't want to do with a floating bridge is, put on the high E then tune it all the way up to the E note with no other strings on yet. The weakest string will be taking the whole load of the tremolo springs in that case.
and like i said, you want to try to tune all six strings evenly. There's no point getting your high E exactly right, and stretching thr string etc. when your low E is still down at C or something. Once you tune your low E, you'll find the tension on the other strings will have changed and you'll need to retune them.