I sharpen all my tools by hand using DMT diamond stones, coarse - fine, with a hard arkansas stone added at the end. I use homemade strops which are old leather belts (Good Will store), rough side up, glued to a length of plywood. Once you teach yourself to sharpen by hand you won't need any rely on gadgets or power tools, or be always replacing the discs. In that sense you are the sharpening system! The angle on any tool is not super critical, if you get it in the ballpark it will cut, if you're outside the ballpark it is easy, and fast, to reshape the tool beginning with your rough diamond stone. Chisels, gouges, V tools, require slightly different approaches in technique, but they are all fairly close angle wise which is about 25 degrees.
Once you've gone through the shaping stage, and taken the tools to sharp, maintaining them is simply done on your strop. Eventually you'll have to grind them again but that is a long way off.
The Mary May sharpening videos Burnt mentioned are a good place to begin learning. For flat chisel sharpening Paul Sellers has that covered, searh YouTube.
dave