I would recommend graebers debt the first five thousand years and anarchism and other essays by emma goldman since debt is a good overview of why anarchists are generally against capitalism. Emma Goldman is a decent starting point since she talks about the basis behind anarchism and anarcha-feminism, plus she's pretty good at talking to the average liberal in ways they have a easier way of understanding.
As for anarcho-capitalists, they generally want unregulated free market capitalism with no state, they want the corporations to have more power than they already do and they live by the non aggression principle which is basically the idea that no one should subject other people to anything that goes against their basic nature and that can be as extreme as them not wanting the government to force them to feed their kids, yes ancaps are quite happy to not feed their own children.
The difference between anarchists and libertarians is that libertarians want a small centralized government whilst anarchists want no centralized government. The emphasis is on centralized government with anarchists, anarchists can see the need in a decentralized body but it doesn't make too much sense to have a centralized government in a country that has many languages, cultures and religions.
Libertarian can also refer to the four quadrant political compass where the bottom two sections are marked libertarian, libertarian in that context just refers to decentralized and socially liberal (in favour of individual rights like gay marriage and such) and the quadrant on the left wing is left wing libertarians and anarchists and the right wing being right wing libertarians and "anarchists".
RE: How to: Anarchist