I recommend cheap diamond hones from Harbor Freight. They are very thin and light. They cut the hardest materials and 3 for 10 bucks is a great deal.
It is not nessecary to have the smoothest honed edge like a piece of broken glass for most applications. The finest cut is 360 grit that leaves slight imperfections in the edge. These can actually inhance the cutting ability acting like micro serrations.
3 Piece 2” X 6” Diamond Hone Blocks from harbor freight $9.99