Literature and Latte

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So I have 3 weeks to turn in my first draft of two chapters of a book project I am doing for Baker, with Pete Rollins, Scott McKnight and Kevin Corcoran.

Aside from the scary company my two chapters will be sandwiched between (something to make these others guys look even better), I have the research done, and an outline for both chapters.

Now I need to nuckle down and write everything up.  But I don't want to do it in word, and be cutting and pasting sections, pages and ideas back and forth.  I'm aware of Scrivener, and Ulysses and StoryMill.

So any of you have experience of these, know of any other mac applications, that would enabling environment to write in, and get the job done easily?