The traditional way is to pour a bit of melted lead into the bore you want to lap.
Of course, you need to plug one end of the bore, and need to allow for removal. I have used a piece of oak dowel that has been tapped into the barrel about 3/4". A piece of 3/8" dowel can make a handy 38 cal plug. I soaked the plug in Remoil to facilitate removal and to keep it from burning.
You can use a cut off piece of a bore brush to pour the lead around. That will help in the lapping process, as you can thread a cleaning rod to it.
When you have your lap cast and removed, you want to use some light oil on it so your lapping compound will adhere. But, first, it helps to try pulling or pushing your lap through with no lapping compound, just oil. This will make the job easier.
You can roll the lap on a hard substance like a flat slab of marble to embed the compound. Go easy with the compound!
Fit the lap in from the forcing cone, thread the cleaning rod on, then pull it towards the muzzle an inch or so, then reverse.
Usually you want to work the breech area, then as the lap begins to wear, extend your contact towards the muzzle.
Ideally, you will have a smoother barrel with a very slight choke towards the muzzle.
If nothing else, you should get a barrel that's easier to clean!