I can vouch for the Spyderco Tri-Angle Sharpener. The medium and fine triangular rods that come with the kit takes care of pretty much all of your needs. I do have a question for you, Daniel, are you sharpening smooth edges or smooth and serrated edges? The Spyderco kit covers both. To use the Lansky kit on serrated edges, you have to buy an additional triangular rod for serrated edges. I have used both the Lansky system and the Spyderco system on my Spydercos and other blades. They both work well. I have the older (without the neat case) Spyderco Tri-Angle Sharpener and have had it for years. All of my knives stay sharp because of it.
Doing what I can to earn my title from the old forum, one post at a time.