I use a 2-frame manual extractor for my 2 hives. Makes life easy. Last year I uncapped with an uncapping fork (time consuming, but not bad for 1 hive at the time).
As for honey with cappings in it, I've never seen it done. I would think it would look unattractive, like a mass of sediment... not nice clear honey, and not a chunk of comb. If you're going to cut it off, why bother putting it back in? I put my cappings in a nylon strainer bag and hang it for a while to get the honey out of them, then clean up the wax.
The keeping of bees is like the direction of sunbeams. -Henry David Thoreau