There are different muzzle treatments. As far as accuracy goes, there does not seem to be any one that is demonstrably superior. You will want to set the barrel up so that the bore is absolutely concentric with the axis of the spindle, ideally at both ends. 4 jaw chuck and a spider. Using a gauge plug in the bore and an indicator works. If the barrel is threaded and chambered, you will probably have to be content with indicating off the outside of the breech. Easiest crown is to just take a cut from the bore out, at 90 degrees to the bore; after cutting for about 1/8 or so, move the cutter toward the tailstock and finish the cut. This will recess the crown a bit. Break the sharp edges of the bore and muzzle with fine abrasive. Or, you can do the older benchrest style crown, cutting at 11 degrees, all the way across the muzzle. Or, you can give the muzzle a rounded crown as often seen on factory rifles. Or you can break the edge of the bore at 45 degrees, and face off the muzzle. Proper setup and a clean, concentric cut are the most important things.
Quick and dirty, run the barrel through the spindle, grab the muzzle close in a 3 jaw chuck, and cut at 90 degrees, recessed into the muzzle, as in the first method above. Might be good enough. If you leave the receiver on the barrel, use a low rpm to reduce vibration from the receiver centre of mass not being concentric with the bore.
However you do it, use a fine crossfeed.