What kind of at home remedies can I do to get my dilation moving along faster?

I'm 40 weeks and my doctor is going to induce me on the 30th of June if I don't have my daughter by then. I'm only dilated to 1cm but my cervix is thin and also very soft. I would like to try something at home to get my dilation moving along ah bit faster because my mother was induced with 3 of her kids and said it made everything so much more painful and complicated, "It would have been better to go naturally." My doctor told me to do somethings at home like nipple stimulation, sex, clean, take ah relaxing bath or walk i have tried all of those none worked! So I'm wondering what things you may have tried that worked or what you know others have tried that worked. I really don't want to be induced because of it be harder on mom and baby and also the higher chance of c-section and if I get induced on the 30 ill more than likely still be in the hospital on the 4th of July. So please tell me some thoughts or something you have tried that had worked before or if castor oil would be an okay thing to try since im now 40 weeks. Also my hospital admits you and will allow you to stay at 3 cm,. so I have only 2 more to go until they will keep me and not send me home.