Is it best to try to learn some word roots before even attempting to learn about the suffixes? I know the suffixes come first in the dictionary, but after reading a bit of it it seems like learning some root words first might be more effective.
I don't know; that's probably a matter of personal preference. Personally, I got the affixes and grammar, first, so that I could deconstruct sentences and construct "pseudo-Klingon" ones of my own; it helped me get "the feel" of the language.
Actually, I still don't know a whole lot of root words!
If I download something from iTunes is there anyway to play it on my computer or do I need an iPod?
You should be able to listen to audiobooks on your PC, or burn them to a CD if you prefer. The Klingon Language Suite is only for the iPhone, though, I think.
iTunes has both
The Klingon Way and
Conversational Klingon as audiobooks. I really recommend
Conversational Klingon, and hope they get
Power Klingon soon!