Fell on ice : hurt coccyx?

I fell on a patch of black ice exactly a week ago. It hurts when I climb stairs, when I bend over and when I sit down. I know you can buy a doughnut pillow to help relieve the pain + ice. But any other tips? Plus, do you think I should go see a doctor? It's not bruised and I know it can take a while to heal. Should I just wait and see?