Dave's method is just about identical to mine - except that I incorporate a bit of WD-40 and rarely use the brake cleaner. I leave the bore and and everything but the breech plug coated with a bit of BreakFree CLP.

And don't forget to put the trigger assembly back on first. Do all the action dis-assembly and re-assembly while the barreled action is out of the stock.

I am considering getting some Eezox to use on the interior parts and bore instead of the BreakFree. Eezox leaves a dry protective coating.