I recommend for a first reading on category theory:
Martin Brandenburg, Einführung in die Kategorientheorie
It is really an excellent exposition with some nice perspectives on the concepts,
supported by plenty of examples. :)
(Note that it is provided in germanGerman only.)
A lot of thanks to Konrad S. for suggesting myto me the reference!
(Such a pity, that I just missed the chance to meet the author in person..)