How about a happy medium?
I loosen the E, A, D strings one at a time until they are floppy.
Cut 'em right in the middle. (Makes unwinding and pin removal easier)
Clean and wipe that half of the fretboard, neck, etc. A dusty guitar is a sad guitar.
Put new E, A, and D strings, tighten to nearly (but under) tuned.
Repeat with G, B, and e strings.
Tune.
(I do the following to stretch the strings out, and keep a better tuning right off the bat)
Lay the guitar on your lap. While you're sitting, of course. If you're laying down or standing, you don't really have a lap, now, do ya?
For each string, put index finger on 12th fret, pull string straight up off the neck near the sound hole, just enough to stretch it out a bit (maybe 1/2 to 1 inch off the neck), with a tug-a-tug motion (you know what I mean) and let it slap back.
Putting your index finger on the 12th fret serves two purposes: It's harder to break a string when you're only really pulling on the bottom half, and if it does snap, there's not enough length on either side of the string to come up and put your good eye out.
Tune again. Duh.
Now, go to the fridge and get a beer.
If it's warm enough outside, sit yourself down on the porch and strum that thing.
(The guitar, not the beer. You drink the beer.)