well munkres is usually considered about as explicit and user friendly as books come, but there is a lower level book on the first homotopy group, i.e. the "fundamental group", that i started on and appreciated very much as a college student. It is by Andrew Wallace, and all his books are written to be understood.
this might be it, but it would be wise to search in your library.
Wallace, Andrew H.
Algebraic Topology: International Series of Monographs in Pure and Applied Mathematics
Pergamon Press, 1957 Good/No Jacket. Slight signs of wear. Paperclip embossment to front endpapers. Binding is Cloth.
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