Remove the Breechplug from the barrel. Make a lap. You need a long steel rod, and it can stand to be threaded to have two washers held in place, so that the lead lap can be poured between the two washers. You use washers, or tape, or muzzle protectors to help center the rod in the barrel, and then pour the pure lead lap. You trim off the excess so that it moves in the barrel. Then you put your lapping compound on the lead lap, tighten the washer on the end up against the lead lap, and begin making strokes in the barrel. You can make your lap whatever length you desire, but a 4 inch long lap is sufficient.
There are several ways to lap a barrel, depending on what you want in the barrel. If you are simply smoothing out the rifling, or removing microscopic burrs on the lands, then move the lap in and out the entire length. When the lap seems to be getting too easy to pull through the barrel, push part of the lap out of the breech end of the barrel and tighten the screw-held washers 1/2 turn, and see how much tighter the lap gets in the barrel. Add more lapping abrasive, and pull it through the entire barrel, but don't ever pull it out of the barrel.
If the lap comes out at either end of the stroke, you will be pouring a new lead lap, as its next to impossible to get something that fits this close back into the barrel and rifling.
If you want to put CHOKE in the barrel, for decide what kind of choke you want: At the muzzle only, or do you want the choke to taper over the entire length?
{HINT}This gets to be real work, without machine equipment, so take some time to decide this one!
If you want to choke the muzzle, then begin by running your lap the whole length of the bore for 50 strokes, back and forth. Now, move down from the muzzle eight inches, or so, and put some kind of stop on your rod- a piece of tape works. Now, lap the back end of the barrel to that mark another 50 times in and out, tightening the lap to make sure you are removing a bit more metal from that rear section of the barrel.
You are only removing a few 10,000ths of an inch of metal with all this work, so don't expect to be putting a "ridge" in the barrel. When you finish, you can use that last lap to stroke the entire length of the barrel to get rid of any " steps" you might feel. The lap will be squeezed by each area that is tighter than the last, but eventually, you will feel a smooth, gradual tightening from chamber to muzzle.
There are barrel makers who do step choking, where they do the barrel in quarters or eights of the length, doing 50 strokes each time they shorten the lapping from the muzzle. This makes the bore and grooves WIDER back where the powder and ball sit, so that the ball at first expands back there when the gun is fired. Then, as the ball progressed down the barrel, the bore becomes more narrow, or tighter, Or "choked", on the PRB, or conical.
You can expect to have to pour a couple of laps over the time you are lapping the barrel, as there is only so much tightening of the lead lap that can be done with that washer and screw.
Lapping was originally done to try to provide a better Seal against the powder gases cutting around the PRB. Later, target shooters did lapping to help them shoot better scores. They still do.
I have heard of target shooter lapping their barrel every night between matches, trying to get a bit better barrel by reducing the height of the lands and getting a new "EDGE" on the lands. These guys are also said to go through a barrel every year, and pay thousands of dollars for a new barrel each year to begin the target shooting season all over again.
Personally, I am not interested. What they are doing sounds too much like a lot of hard work, and that is no fun to me.
I have loaded and fired a lapped barrel with choke at the muzzle. You can FEEL the difference when loading the PRB, and just cleaning the barrel. The gun shot very accurately, and was very easy to clean.
NO one keeps shooting winning scores the rest of their life. We all have days when you just don't do it, for any number of reasons. Even Tiger Wood comes in second in some golf matches.
If you set out to make shooting a way to BEAT all the other shooters, you are headed for a great disappointment. No one becomes a winner, with just equipment. Its the shooter behind the gun, not the gun that makes the winning possible, and you lose a lot of shooting matches learning the skills, before you reach the level of being a championship level shooter.
Some people never get there, no matter how much they practice or how expensive a gun they shoot. Its that way with all sports, and all skills.
I once beat the Indiana State Trapshooting Champion at a small club Registered shoot using my old Remington Wingmaster model 870 pump shotgun. I just shot a better score that day. But, he was shooting a $5,000 gun and apparently was particularly angry that he was beaten by a total strange shooting such an "inferior gun".
He stormed out of the club when he found out he came in second, not even taking the time to find me and introduce himself, or congratulate me.
I would not know him from Adam, then or now, but it would have been an honor to meet someone who was that capable a shooter. And, it would have been nice to been congratulated by him for my win.
The first thing I would have said to him was, " Well, Don't hold your breath expecting me to out-shoot you again anytime soon! I shot 10 targets over my average, and you were probably 2 targets off yours!!!" Then I hope we would have both had a good laugh about it.
There are other ways to make a lap, but this is an " easy " way to do with only hand tools. Be careful of the molten lead, when you pour the laps.
As for lapping compounds, they are sold in auto supply stores as " valve grinding compounds". You can find rottenstone at most paint stores, and sometimes, powdered pumice, too. I know one man who uses Pearl Drops Toothpaste, and another how uses Crest toothpaste for his lapping compound. Check the sites for gunsmithing supplies, like Brownells to see what they are selling, too. See their "link" at the top of the index page, here.