Sex, sperm softens the cervix, your orgasm brings contractions as well as nipple arousal. That's what my midwife suggests.
Walking. Sex. Spicy foods. Pineapple. Nipple stimulation. I tried most of these with my daughter and she was still 6 days over due. Unless your baby and body is ready nothing can make them come. Is there a reason you want your baby out at 37 weeks? Your baby really should stay cooking for as long as possible.
Your babies lungs are the last thing to develop. I would practice patience instead of trying to force labor. Just bc u have a due date doesn't mean anything bc they are just guesses. There's a reason a doctor won't intervene until at least 40 weeks
Talk to your doctor about it... But I would wait until 38 weeks so that your baby lungs will be fully developed.