As ibn_ibid suggested, getting a translation of The Travels is really the best thing to do. It's a lovely read, with none of the archaic oddities of, say, more-or-less literal translations of Homer or older texts. I think that high quality is due to three things: an excellent translation by Mackintosh-Smith; the fact that the original material was written as reportage/prose, not poetry or correspondence; and that Ibn Battuta was just a damn good writer--Rusticello wrote like a paperback novelist forced to write nonfiction, and it showed.
Dunn's "The Adventures of Ibn Battuta" is also trenchant. But really start with The Travels.