Im due the same day too and I have just been walking alot. Im 2 cm and baby is very low.
I did figure eights on my ball and that helped. My doctor was happy. It also moved my baby down!
I will be 39 weeks this Friday also , I would suggest walking a lot . It help me with my last 2 pregnancies and I been walking with my third also hope it does help since every pregnancy is different.