Sounds very nice!!
You know,bluing is a refined rust process. Once the "red" of the rust is carded away,you have steel that was degreased covered with a rust etched texture.
That is like a primer that holds oil..
At the time of bluing,the Gunsmith killed the process with some form of sealer.
It could be anything from bayberrywax and turpentine,lanolin,beeswax,at the time that rifle was made,whale products.
Over time,wipedowns with the owners favorite oil,oxidation, a patina develops over,on,and within that original rust etch.
The very harsh solvents like brakleen strip that away.
Sure,you can wipe the gun with oil. But its not quite the same as that patina.
The old barrel steel was soft, The rifling likely hand cut. Go easy on it!
Leave CLR in the bathroom!!
Regular Hoppes #9 is the harshest thing I'd use in the bore. Minimize bore cleaning. Modern ammo doesn't need it. You might wipe it with an oiled patch or two.
Enjoy!