You actually need to understand why anarchists oppose capital and landed property and monopolies and so on before you can even begin to advocate an anarchist society. For example, under modern political theory, "small government" (Minarchism) means allowing corporations to run amok and make slaves of us all, with people having no control over the means of production. How this is freedom is beyond me, but understanding why you should be critical of this is a pretty easy thing to get.
Something closer to anarchism would be like Guild Socialism.
I just got this book by Russell:
In it he documents anarchism and socialism, and there is even a section on the type of problems the future will bring (i.e. now, the book was written in the early 1900s) and how an anarchist society could solve them.
Another good place to start would be to read Chomsky on Anarchism.
The Anarchist FAQ is one of the most detailed FAQs on the internet while still being easy to understand. It also has section that explain what anarchism would look like.
I also recommend the wiki article "Anarchism and capitalism" to see why anarchists oppose the free-market.
The truth is, it's impossible to know exactly what anarchism will look like because people/cooperatives/federations/guilds are free to make their own decisions and run their communities according to the principles of self-government, they are just not allowed to dominate and exploit the populus at large.



