Pineapple, kiwi and mango help soften the cervix because of an enzyme they have. I've been drinking this smoothie that actually tastes really good.
1 cup of fresh pineapples
1 cup of fresh mangos
1 cup of orange juice
1/2 cup of vanilla yogurt
Ice
Im with you. 39w and I've been 1cm for 2 weeks! Last check-up my doc said I was still super tight so I'm hopeful there will be some change when I go on Monday! At this point though I've decided to accept that he won't come before term, it put my mind at ease, I sleep better! Good luck!