Your sub-questions assume two things: 1) That non-anarchists will care about anarchist history and the finer points of anarchist community organizing and 2) That any viable anarchist community can be explained coherently as a singular system.
I recommend you read the CrimethInc. essay "Your Politics are Boring as F*ck" (regardless of how you feel about the group itself):
Most people's eyes glaze over when anyone of any political stripe begins to wax philosophic about how society should be structured and about "what's wrong with this country today." Instead, anarchy should be presented as a process of personal emancipation, a get out of jail free card; and yet, a card that isn't handed out but taken by force and conscious will.
If and when the majority of the people in any given area begin to take control of their own lives, to live as they want to live regardless of popular opinion, law, religious doctrine, or any other controlling influence; then we'll have our anarchist society. And it will develop naturally. No one can prophesy as to its particulars. We can guess and we can dream, but our primary mission should be to become our own personal masters. Anselme Bellegarrigue said it best: "...where no one obeys, no one commands."
Share with people the awesome power and joy that results from living your own life free from restriction, the beauty that may be cultivated from seeing life as an open field and not a zoo full of cages. Convince by seduction. Be a shining example of individual rebellion against the forces of conformity and manipulation. THAT will win hearts and minds, not some collective reading of Bakunin followed by a discussion of the CNT in some dust-covered infoshop.