I think it'd be the better idea to induce before your baby is getting big as the baby size can be as big as 300g to 400g within 2 to 3 weeks. I went for induced labor as I had 3.2kg at my 39weeks. So my gynae checked my cervix condition and advice me to go for induce.
You may like to find out how many types of inducing and their pros and cons. If you need more info, pls feel free to ask me.