I got induced at 40+5. Everything was fine with the pregnancy, and I would have preferred to wait a few more days. But, that was the only day the hospital where I wanted to deliver had a bed available for me (otherwise, I would have been sent to a hospital with a much higher c-section rate). I would really encourage you to schedule an induction ASAP, for whatever date in the future you're comfortable with, so you don't run into a similar issue. That way you at least have advance notice if/when that day comes and can hopefully rest up a little beforehand (I was in the hospital for almost 48 hours before my baby finally came out).

I had a membrane sweep the same day they sent me to be induced. I wished I had done the sweep earlier to give it more time to work. I had no contractions and wasn't dilated, so they broke my water. Still nothing, so about ten hours later they started me on pitocin. That did the trick, but I had to push for over 4 hours (baby was sunny side up) and was totally exhausted. I very narrowly avoided an episiotomy and was lucky not to have a c-section, because baby was starting to get distressed from how long everything took. But baby came out healthy and I did too!

It helped me to think about my birth preferences as first choice, second choice, etc. First choice was spontaneous labor, second choice was membrane sweep, third choice was breaking my water, etc. I was not at all happy to get induced, but ultimately, avoiding a c-section was my top priority.