Thank you @cfnisbet for putting together this excellent summary and simple way to start without a SilverTron!
As new folks start asking questions, the response is often, "Begin by reading the Articles section." I want to emphasize that again. As much as cfnisbet has packed into this post, it is still not a substitute for reading the Articles section.
There you'll find recipes for different versions of colloidal silver, how much reducer to use, and how to make dilute Karo with distilled water. Elsewhere on the forum you can find that it will keep longer if you dilute with vodka instead of distilled water. OK, that may be in the Articles too and I missed it.
Another option for filtering is using a Keurig style reusable basket in a funnel. I suspect the metal screen is not fine enough to catch particles of silver oxide precipitate, but if you're cleaning your electrodes frequently enough, you shouldn't have much of that.