Just give yourself till EDD, 40 weeks exact before inducing. I had both child at 3cm dilate and I hold on to it exceeding my due date. First was induce at exactly 41 weeks. My second was suppose to be induce at 40 weeks but somehow it didn't turn out the way it was due to priority cases given ahead first.
But nonetheless, I would say induced is much more painful, dilation can be very slow esp if it is your first. And should dilation not work, it can lead to other birth method to as far as emergency c section. Because usually after induce hours and hours later, checking of cervix, waterbag break, thereafter all the process starting. And if labour is pretty long, it can be tiring.
However, I do know of some mummies that opt for c section just because dilation is long or they refused to be induce. But having your situation like this, better to give a week or two before induced. Let C section be the last option. This is based on my experience. To me as far as I can hold it and I want it natural/vaginal ill do it.
itsallabout_mytwokids