Usually a watchmaker is best - I've met some jewelers who didn't have a clue what they were doing.
My guy will usually check the watch on a timegrapher in a few positions (especially face up, crown up, crown down, and 6 down, because he knows those are my minimum requirements if he has time, I don't need all 6 positions). Then he'll try to get it so that they all equal out as close to zero between them on the timegrapher. If there are no beat errors and amplitude is good, he puts it on a special winder that hits all positions for 24 hours, and checks it.
He wears it around the shop for a day if I ask him, as the watch will be warmer on the wrist, but usually I don't bother. So, he doesn't have to spend much time with the watch after the first set of adjustments. I have been going to him for a couple of decades, so he does give me a discount on a lot of stuff. He replaced a case-tube and crown for me for $75 last year. And he did a Yobokies Seiko Tudor BB mod dial, bezel, and hands for me once for about that much as well.