Baby head down & engaged at week 34.

hi! ive been advised by my gynae that my baby's head is down and engaged at week 34.5, with a slightly shorter than expected cervix length too. i am currently on bed rest now, except when peeing, pooping, showering and eating. im also taking utrogestan vaginally. would like to see if there are other mummies in a similar situation as me and baby managed to stay inside till after week 38? 😀 also, any other tips for me? thank you!