mainerockgym,
Please don't be put off by some of the responses. You can appreciate that AR's are anti-politically-correct, and sometimes members are a little over-sensitive to folks yanking their chains.
I was exactly in your situation about 10 years ago. I bought my first Colt Match Sporter HBAR (yeah, a neutered gun!) I really didn't know anything about the rifle other than how much fun it is to shoot. I didn't know how to disassemble a bolt, or anything. Don't feel like you are the object of scorn or anything. AR15.com is such a great resource sometimes we assume that everyone knows this stuff.
To answer your question... it's been answered above!
I usually strip the bolt down to taking the extractor off the bolt. My cleaning regime starts with stripping the rifle, swabbing the bore and letting it soak. Then I strip the bolt as described above. I wipe the worst of the grime off the bolt parts but I don't get fussy. I use Ed's Red (the home-brew gun cleaning juice). I keep most of it in an olive jar (tall and skinny) and pour some off into a tuna can. The firing pin retaining pin, firing pin, cam pin, extractor and extractor pin and bolt all go in the tuna can to soak. Then I wipe inside the bolt carrier and drop it in the olive jar of Ed's Red to soak. Ed's Red does a good job of dissolving the carbon and leaves a slippery coat on the soaked metal.
I finish cleaning the barrel, wipe out the upper and lower, then retrieve the bolt parts from the can. I wipe them off, put a little CLP on for lubrication (just a little) then reassemble. After soaking in the Ed's Red, I find that most of the grime wipes out of the carrier with a rag on the end of a toothbrush. There really is no need to get fanatic about cleaning in there, it doesn't affect the functioning of the bolt.
[edited to add] Don't over-oil the upper and bolt. It just gums-up the works.
Hope this helps.
C_M