The standard carb kit from Honda was all I needed. Although they were expensive, those had everything I needed.
I did take mine completely apart and there were a few adventures, solved with the help of the people here, but if you don't go that far, we don't need to go into those.
The key thing for me, other that thorough cleaning was getting the idle jets out of the body and cleaning those. They are press fit and did not come out easily and yet when I did get them out, they were clogged or nearly so. The hole through them is incredibly small diameter, I did not believe it.