Let me begin by saying that although I do most of my own wrenching, I have always been afraid to turn a spoke wrench, let alone true a wheel, for fear of doing significant damage.

I have a Chris King rear wheel, X-ray spokes, and HED Belgium + rim that has been rock solid since 2014 when I got it. My one very minor quibble is it is about 1.5 mm off center, toward the drive side. However, the wheel remains quite true. (Two other wheels I use on this frame are not off-center.) I've lived with it for 8 years, but it has always annoyed me. Recently I switched to tubeless, and one of the unintended consequences is that my favorite tire is 1 mm wider, and is too close to the right chain stay for comfort. Hence, I would like to recenter the wheel slightly to the left.

Normally, I would just take this to a shop and have it done right, but it kind of bothers me that I can't do what should be a straightforward and minor adjustment. But I don't want to trash an otherwise flawless wheel (which is technically within tolerance for normal people.)

If I do this myself, I would likely borrow a truing stand from a friend who bought one with the hope of learning to build wheels, and then didn't. I would like to learn at least a little, but already I have found myself encountering conflicting advice.

Once source says to proceed by tightening all of the non-drive-side nipples 1/4 turn, followed by relaxing the drive side by 1/4 turn. Another says simply to tighten the non-drive side (again, incrementally). I can see pros and cons for each.

Also, should I keep the tire on?