I'm actually working out of that very same Jamey Aebersold book right now! I've been playing for about a year now, and over that time my teacher and I have gone over many different tunes, most of which coming from the Aebersold jazz books. They're really a great rescource and a lot of fun if you get used to that thiny, whiny voice at the start of every track. (1,2,1 2 3 4).
Almost all of the songs presented in those books are rather easy (at least out of the tunes that I've worked on) and it really is neat to have the rythm section cd that comes along with it. Not only has it helped me with basslines, but also reading bass clef (I already knew Treble...6 years of brass that taught me that much). Further more, it's good practice to go over the melodies and a lot of fun too!
So in closing to my long winded, and rather useless pitch, I would say that you should check out some of these books. They're fun, easy, and they've really helped me during this first (and hopefully not last) year of my bass playing.
P.S: According to the book, Killer Joe is by Benny Golson.
