Momokawa has a pretty good primer about sake on their website:
http://www.sakeone.com/assets/client/File/SakeOne-01Understanding.pdfAlso, Momokawa is not the worst place to start. They have a pretty broad line-up and make decent sake out of Oregon. However, I am personally not a fan of their "G".
Sake has a pretty wide diversity of flavors depending on the style. The primer about will teach you what you need to know about their styles.
I might start with a nice nigori. Snow Beauty is widely available and not bad for the price. Nigori is much sweeter than other sakes, however. Serve chilled. Always.
Another good sweeter sake is karatamba. It is in a black bottle with big gold japanese characters. Pretty good.
Tozai has some pretty good, affordable sake as well.
As for other drier sakes, there are many that I like, but I don't know their names. I typically go for sake bottles with as little english as possible on them.
Hope you have some success! Remember, try 3 or 4 very different sakes before you give up on the drink completely. Check the dryness measure on the back of the bottle to give you an indication of the sweetness.
Enjoy!