Woodworking

This is personal preference, not religion. Sometimes people start to act like you will go to hell for using the wrong system. You won't.

Sand paper on a flat coutertop is cheap to get started with and works well. A pack of 2000 grit (auto parts store has them) will get you are sharp as you need. However sandpaper wears out fast, so this quickly becomes the most expensive option. Still keep this in mind as sometimes you are in the middle of nowhere without supplies and need a quick sharpen.

I personally have settled on oil stones. They work well for me. Just a little oil, sharpen, and wipe the oil off.

I have some waterstones, but I don't use them: they are not hard enough to sharpen some of my tools (this is specific to the stones I have, not water stones in general). I never found dishing to be a problem when I was using water stones: I just use the whole stone and so they wear evenly. I sharpen outdoors in winter, and water freezes and this can wreck water stones if they are wet: this makes me afraid of water stones.