There are others here who know a lot more about FA's but here's my thoughts.
Although I've never tried it, I'm not too keen on shooting lead out with jacked bullets. As others have said use some Chore Boy or equivalent. Shooters Choice lead remover also works well, but don't let it sit too long. After the bore is clean ( make sure there's no copper under the lead ) I'd recommend using some JB bore paste to get rid of anything you missed. The idea is to get back to bare metal. Clean the JB out well. Then use a little Bull Plate if you have it but it's not essential. Dan and Tina sell it in Alaska but it's now harder to get. It's used as a mould sprue plate lubricant so hot lead doesn't stick to it. It's good stuff.
They say fit is king, so make sure your boolits are the right size. I'd change powder and don't use a hard lube that comes with many commercial boolits. Imo a soft lube is better. I shoot PB ( no GC ) exclusively in my 454 with no leading. I use a little Gunzilla on the bore and cylinder but only get carbon. Then a little Bull Plate ( a very small amount ) and I'm good to go.
Don't forget to clean the cylinder throats because they likely have some lead in them.