We use Butches Bore Shine to get the barrel wet and get the cleaning process started. We then switch to Hollands Shooters Supply "Witches Brew". It works great, in my opinion it is the fastest way to clean a barrel and I have not ever seen any damage to a barrel from it. We borescope everything, and my personal rifles look great with no signs of wear.
Use a good boreguide.
Be careful how you use your brushes.
Guide the jag back into the muzzle cautiously.
Use good quality one piece cleaning rod.
Do not over clean.
Once you are done with your solvent, wipe out your barrel with something neutral, then dry it out with a few patches.
You will be perfectly fine.
Mark