What are your thoughts on reincarnation?

I've watched 2 Oprah shows on the subject and she's had Dr. Oz on both times. I've always thought he was an intelligent man. He seems to be open to it. I'm open to it to a point, but some of the claims were a little too much for me to fathom. Wouldn't you have to also believe in God to believe in reincarnation? What are your thoughts?