I would not recommend being induced to anyone (unless there is a medical emergency eg placenta stopping functioning or baby in distress). I know that the first time it is all exciting and you both can't wait to see the baby, but induction is not a gentle process, it brings on full on labour really quickly and can be very traumatic for mother and baby. I was induced for my first and it was a truly horrific experience that lasted 36 hours. All sorts of complications that I'm sure were a result of me not actually being full term, but 'dates were dates' and the midwives insisted tha baby was coming whether it wanted to or not.
My second, I was adamant I was going to wait til nature took it's course and went 3 weeks over my 'dates'. The midwives were frantic to have me induced spinning me scare stories about the baby getting "too big to deliver" and it being dangerous, but the consultant obstetrician said that so long as I came in for twice weekly ultrasound to check that all was well with baby and placenta, there was no medical reason why I wouldn't go into labour naturally. And I did. It was a much more controlled and less painfull (physically and emotionally) than the induced birth. I was still pressured to have various interventions "to speed things up", but my partner helped me resist this. Don't put me down as a fanatical 'natural birther' though, and still took the pain relief that was available.