Yashahime is really confusing, especially for an original InuYasha fan. It makes more sense after more background stuff is explained...in like episode 15. Seriously, it would have been a lot better if the back story was revealed a lot earlier. Even after that, it's still really confusing. Finishing episode 24, I literally said "I'm so confused" because even that episode was terribly confusing. Hopefully more answers will come in season two.
Otherwise, the animation is spectacular and the fight scenes are pretty epic. Typically, I'm a dubbing, so maybe being able to watch it in English will help. A friend of mine gave up on the series due to the confusion and went back to rewatch the Final Chapters of InuYasha, hoping that would help the new series to make more sense.
It's not a bad series, but honestly, I'm partly still watching it because I want answers to all of my questions. And for a few other things that I won't mention because I don't want to give away spoilers. I'll just say that I'm hoping for the return of some more of the original cast.