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Books for hyperbolic geometry ( surfaces ) with exercises ?

Hello, what are good books on hyperbolic geometry/hyperbolic surfaces that have good number of exercises, just to get a good understanding of the literature . I know John Ratcliffe's book will be one of them, but it is kind of encyclopedic. I particularly want to solve some exercises where they will be using free homotopy, isotopy, Arzela-Ascoli arguments, covering spaces, lifting of curves and homotopies, and will be actually using hyperbolicity of the manifold.

Thanks !