batman1262...There are no 'stupid' questions if you need an answer to a potential problem....
As to your barrel break in...Before trying anything else, Savage barrels usually turn out to be one of the better factory productions on the market and shoot well from the get go...If you are experiencing something less than anticipated, first, try shooting a couple of 20 round boxes of ammo through it initially....If you want to shoot, clean, shoot, etc,,,that's your personal choice...I've not found that much, if any, benefit from doing so..
The inside of a barrel, unless it's been professionally hand lapped, will have a degree of microscopic tool marks, depending on the method used to cut the bore...I would not try to 'hand lap' the barrel yourself...That, if not properly done, can lead to more problems..
I've found that by running a few rounds of the cheapest FMJ ammo that I can find (usually military surplus) through the barrel before a thorough cleaning tends to 'burnish' the bore surface by smoothing out the tool marks and then clean thoroughly to remove any powder or copper residue....
There are great chemical products (many opinions as to what is 'best') that will do this better than using metal brushes...Nylon brushes are great for loosening any build up in conjunction with the chemicals..After that, patches will tell you when you are about 'clean' by leaving very little, if any, stain on the patches...
Then, go back to shooting and pay attention to where your accuracy starts to fall off and that will generally tell you when you need to plan on cleaning again...a lot of barrels get ruined by over cleaning and many find that rifles shoot consistently better when the bore is a little fouled...