The Houses of History: A Critical Reader in History and Theory, by Anna Green and Kathleen Troup, is a good introduction to many historical schools of thought, and it has a chapter on the Annales school. Houses of History is a pretty popular book, so hopefully you shouldn't have that much trouble getting your hands on a copy. If you have a university nearby, its library is almost guaranteed to have it.
Marc Bloch, one of the founders of the Annales school, wrote The Historian's Craft: Reflections on the Nature and Uses of History and the Techniques and Methods of Those Who Write It. It's a relatively short book, only a couple of hundred pages, and is very easy to read.
Finally, read some of Braudel's work. The Mediterranean and the Mediterranean World in the Age of Philip II is a long, rambling work in multiple volumes, and I don't recommend finishing it unless it somehow gets you interested. But the first few chapters will give you a very good idea of how Braudel writes, and what he thought of as the longue durée, one of the more famous parts of the Annales school.
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