What did you read that claimed that Anarchism would mean no crime? Not even the Catalonians believed that, and they actually built an anarchist society, if for only a year or so. Here’s some books to read:
The Conquest of Bread by Peter Kropotkin
On Anarchism by Noam Chomsky
Mutual Aid: A Factor of Evolution by Peter Kropotkin
Homage to Catalonia by George Orwell
Anarchism and Other Essays by Emma Goldman
I could go on for days, but I really would ask that you acclimate yourself with the ideology. I did my research on Capitalism, I own a copy of The Wealth of Nations by Adam Smith, I’ve read Capitalism and Freedom by Friedman, I’m currently reading Henry George and the Crisis of Inequality, and I just finished Triumph of the City.