Hello everyone! How can I dilate the cervix? I'm already at 39 weeks a…

Hello everyone! How can I dilate the cervix? I'm already at 39 weeks and 3 days. I'm still in a paid hospital stay. Now, every 20 minutes or so, I sometimes feel a pulling sensation in my lower abdomen; I don't know if these are contractions or not. We had sex three days ago, but it hasn't helped. At night, my abdomen pulls strongly, but during the day it's less frequent. The baby is ready, head down, but the cervix hasn't opened... The mucus plug came out in a bright pink color, just last night. During the day, very little comes out. Can anyone advise what to do? Maybe I should go home? It's just that home is far from the maternity hospital, so I'm staying here... According to the ultrasound, it's 40 weeks, but by obstetric estimation, it's 39 weeks and 3 days... Or should I do some exercises???