Naturally induce labor?

Hi! So I am 40 yo and 38 weeks/2 days pregnant with my 3rd child. My 10 yo was born at 39 weeks and my 6 yo was born at 37 weeks- these baby’s came on their own... no induction necessary and both born vaginally. Due to my age and a congenital heart condition, my doctor wants to induce me on Fri Jan 26th- I would be 39 weeks/5 days. I’ve had testing done for my heart condition and everything looks really good... I’ve read about the induction process and I don’t think I’m too fond of it. I would prefer to go in to labor more naturally if possible... At my last appt (Wed Jan 10th), I was 50% effaced and 3 cm dilated. My baby girl has been head down since about week 32... I’ve been having many Braxton Hicks for awhile now, I’ve had signs that my mucus plug is dissolving, and I’ve been getting random sharp pains deep inside (lightening process). Baby is engaged, but not fully... I’ve tried sex and although I rather enjoy the process- it hasn’t done anything from what I can tell. When I run errands- walking alone seems to cause more pressure down low- I’m assuming this is a good sign. Has anyone had any luck with techniques to get the true labor processing going? Thanks in advance! 😁