Froogal
Depends (no, not the ones in the plastic package). First a CAVEAT. I don't like Balistol. At all. Well, it's ok to soften stiff boots. However:
It will work for your purpose (mostly). I do however, recommend and champion the use of PAM. Acronym. Hydrogen Peroxide, Denatured Alcohol and Murphy Oil Soap in equal parts. I put it in a little spray bottle. Works a treat.
With PAM, you won't need a bore snake. Just a squirt down the bore and spritz a patch on the ends of yer rod. Done. Put a drink cozy on yer spray bottle. Hydrogen Peroxide doesn't like direct sunlight.