Fear not, this will get you on your way, some of the products that I list here, you might have to purchase something with a different name (but does the same thing), just remember to follow the ORDER, and under NO CIRCUMSTANCES TAKE ANY SHORT CUTS ! You'll be rewarded in the end with a rifle that will always be able to accomplish well above and beyond human capabilities.
With your "new barrel", two of the most important parts in the newly machined surfaces are the "throat" and the "barrel rifling". Honestly, with my personal .308 s.r. I think we approached 87 rounds of full load FMJ before things started to settle in, (just about the time I was ready to throw it in the river !) Having a good coach at this time is priceless.
With any new rifle break in, 80 to 120 rounds of heavy grained bullets is the norm, I'm not sayin you gotta do what I do here, just keep in mind of your count, because it'll take that long to settle things down, even when your shootin bulls at 250 yards right from the box. Used rifles are much easier to bring back ( I have a method for them too)
O.K. here goes,
Fire 5 rounds down range at say 2-3 minute intervals (you want to keep the heat in the barrel)
Let the rifle cool down for a couple minutes
Run a soaked patch of copper solvent from the breech to the muzzle (keep the muzzle tilted slightly down)
Run as many clean patches as it takes till one comes out clean(or almost)
Fire another 5, same as before
Lightly soak a new patch of copper solvent and run it slowly down and right out the muzzle end (it's easier with a one piece cleaning rod)
Run as many clean patches as it takes till it comes out clean (no green or blue color)
Try to stick to this regime for at least the first 20 rounds of heavy loads, if you start to notice less copper (not so much blue/green) then make note of your fired rounds count, and move onto a regular cleaning schedule, and start tuning your weapon for accuracy, remember, 80-100 rounds is the norm, let your cleaning patch be your guide. Don't rush it.
Best Wishes