Recently, I was faced with the same decision also except I was leaning only towards the 6970 or 570.
I have used only ATI in the past, but was disappointed by the 68xx series, and I wanted to try something new. With the 68xx I knew what I was getting, and wasn't expecting a miracle card, but it still disappointed me.
For me, a quiet card was most important. From what I had read, the 570 was the quieter card, so it is what I bought.
I couldn't be happier with the 570. It is everything that my ATI cards should have been, but never were. I'm not a doctor but I played as one with the girl next door when I was 5. Your results may vary, but I am VERY happy that I went with the 570.
I am on an amd pii 955 right now. Depending on how bulldozer and sandy bridge compete will depend on who gets my chip set $$$ in the future.
GL!