Hi conchmariner, I drench the whole bolt, bolt carrier, etc in Slip 2000 EWL for lube. You want it really "wet". This also makes it easier to clean after range trips as well.
The CLP is not bad for cleaning, but it just dried out too much inbetween range trips for me, thus it was more of a chore to clean after firing, as well as, not lubed very well.
I do use Hoppes as well for cleaning. If your bolt and bolt carrier are bad you could let them soak in Hoppes to make it easier to get the crud off. But use a good lube and lather it on keeping it "wet" is key with these rifles.
FWIW, I havent taken the extractor apart, but i do take the rest of the assembly apart to clean and lube. It only takes a few seconds and to me its worth it.
I bought my AR 15 Brush kit at Cabelas. It is made by Kosso (made in the USA too)
It has a brush for the upper receiver, a chamber brush, bolt carrier and bore brush.