Distributism

Over these last months, I regularly heard about Chesterton's 'distributism', though I have never yet encountered in an actual book by Chesterton (no doubt because I am reading chronologically and not getting on too fast). I just watched a relevant episode of 'The apostle of common sense', though, and I am starting to get a certain feel for the subject.
First, we need to realize that there is something wrong with both capitalism and socialism. The latter will give too much power, and property, to the government; in the former power and property will get concentrated in the hands of a few. In both systems, the normal man will not have too much power and property.
Distributism then favors the distribution of property: each man should have some property, preferably property that generates something useful. Small shop owners and small peasants are ideal distributists. Big business is wrong, because the big shops etc make small shops disappear.
What I read on the internet on distributism is mainly viewed from a strictly catholic viewpoint. The family unit should be as independent as possible. Consumerism is (rightly) condemned.
Still, I do not see how a distributist society could be developed, and once it exists, how it can function.