Hi there.
It depends on the type of grind your knife has right now. Is it convex or v-grind? If it's v-ground, you could definitely use your sharpmaker. A convex edge has a gradual curvature towards the point, rather than a straight edge. This is intended to provide additional edge strength and cutting power. Due to the subtle curvature, convex edges are best sharpened - in my opinion - with a leather strop and some honing compound. Any nicks or dings can be touched up with a sharpening stone, and a strop can be used to return the blade to a mirror-polished edge.
In terms of my personal preferences, I like to use Japanese water stones for my sharpening. They take some practice (you have to know how to move the blade, retain the correct angle, and how to develop a good slurry), but they are rewarding. Once I have applied a sharp and even edge with the stones, I switch to the strop to finish off.
All the best,
- Mike