I dont have experience with induction but I can tell you the discussion I had with an OB. He's very senior at a public hospital. Their policy is to usually induce the baby after a stillbirth at 38wks. With a live baby they need to monitor, as the induced ctxs can be so much stronger than spontaneous labour. You can discuss with your OB about starting gently. My understanding is induction is often easier if you're close to going naturally.

In our case, he doesnt recommend induction, due to risk of escalating interventions. As bub died from a genetic disorder, we know it wasnt the pregnancy or birth. However, I also have too much information about things that can go wrong, so this kid has been instructed to be fully grown and be born sometime between 37-39 wks. We'll make the decision wrt induction closer to the date, depending on our mental state.

It's normal for you to be thinking of all this in advance. Having a plan can give you a sense of control.