Re: The best way to install guitar strings?
String winders are Ok for fast removal of old strings, but are more trouble than they're worth for installation, IME.
If you have them, center the fine tuners before you start, then back them out slightly. The strings will stretch over time, so fine tuning almost always trends in one direction over the life of the strings. Proper centering avoids the need to ever unlock the nut again.
I use about 3 or 4 turns on the post, *neatly* stacked downward. If you stack the coils upward, you risk having the break angle end up too flat. I don't usually bother with the first wrap over the string, but it's not a bad idea. If you end up with too many wraps, unwind the string and take up some slack before re-tightening. If you end up with not enough wraps, you may need to discard the string and start over. With a bit of practice, you'll get the hang of where to post the string so you end up with the right number of turns. This is most critical for the low, thick strings.
When winding the string onto the post, keep it under tension with your other hand to get a tight, clean wrap. As it nears full tension, make sure it is routed properly through the nut and saddle.
Tune the strings, low E first, then give each string several good stretches and retune as you go. I grab the string near the octave and tug it about 1 ~ 2 inches away from the body. Then play the guitar for a few minutes and retune, lather rinse repeat.
Do not lock the nut until the guitar stays in tune under moderate bending.
Last, either trim the strings near the post, or leave them hanging like wild crazy long hair. I see a lot of guys who coil the extra string length at the headstock, but once you've kinked the string at the tuner post you can't use the extra length anyway, so it's better to just trim them with wire cutters. Carefully discard all old strings and trimmings for the safety of your pets.
I do not believe that locking tuners are ever necessary. If you wind the posts correctly, the string will not slip. I am also moving away from guitars with locking nuts because the strings don't feel as slinky. A locking nut is really only needed if you're doing extreme dive-bombs.