Perfectly safe to use. Use a regular solvent like CLP, Shooters Choice, Hoppes, etc to get all the carbon fouling you can out, then use a jag and patch to swab the bore with the Copper Remover; a few passes is better than just one, then let it sit for 10-15 minutes, get a clean patch soak it with the copper remover and "scrub" the bore with that. Patches will come out blue-green, the darker the color, the worse the fouling was. Repeat untill you are happy with the color the patches come out... I dont strive to get all the copper out, just the heavy deposits.
Now the most important part: dont leave the bore with this stuff in it, always patch with regular solvent a few times to make sure you got all of the copper remover out, then any oily patch (CLP is fine, I use FP-10) Dry patch before your shoot it again. The copper remover will attack stainless or bare metal rods, and brass jags and loops, so always wipe down your rod and tools with an oily rag after using the stuff.
Using a brush isnt necessary with the copper removers like SC Copper remover or Sweets 7.62, as long as you get the carbon out first, they work by chemical action. Save the brushes for the carbon deposits.