Eddis, Attolia, Sounis

I'm rereading The Thief in order to get geared up for The King of Attolia - my oh my, rereading is so much sweeter than the first time around, GETTING ALL THE FORESHADOWING - and I suddenly had a thought. All the time I have pronounced our Queen's Thief's name "YOO-jen-eyds." But I was reading, and I read Ambiades's name for the thousandth time, and I realized that I pronounce it "am-BY-uh-deez." This seems correct to me, based on my small knowledge of and experience with Greek and Greekish words and names. And I looked at Eugenides's name again - and realized it could also be pronounced "yoo-JEN-uh-deez," possibly more accurately. Or also "yoo-jen-I-deez." I'm not sure what I feel about either of these, or about possibly changing the way I pronounce the name, but I have a compulsion to at least know the truth. Or the general consensus of what the truth might be.

And so my questions to you, my newly-found fellow fans, are
a) How do you pronounce Eugenides?
b) How do you intellectually think it SHOULD be pronounced?
c) What about the pronunciations of various other interesting names that I can't think of at the moment?

To recap, my answers are
a) YOO-jen-eyds (rhymes with...er...you jen rides)
b) Possibly "yoo-JEN-uh-deez"
c) I can't think of any at the moment.

Thank you very much, in advance!

EDIT: For reference, the general consenus seems to be, and the audiobooks seem to say, that the proper thing to do would be to pronounce it
yoo-JEN-uh-deez
However, we have a fairly wide array of other ways to pronounce it, too. Extremely interesting!
Thank you all very much, again, for your input!