over the last couple of years, I've been using meths soaked patches as a significant part of my barrel cleaning. It's BRILLIANT at removing the carbon.
I then follow-up with butch's bore shine or similar to attack any copper fouling.
My borescope tells me that there's rarely need to use a bronze brush, but I occasionally use JB Paste.
Watch-out: meths removes oil, so I wipe inside & out with an oiled patch, before storing the rifle in the safe