If all goes well, you may not even need induction if you delivered your last one at 40w1d. I know every pregancy is different, but my experience has been that I seem to deliver earlier with each successive pregnancy (last one at 38w0d, and was 3 cm dilated before I went into labor). Hopefully at least your cervix will be favorable - I think that can make a big difference.
As for the pit, my old OB was willing to use pit to augment labor in a vbac, but my new OB will not use it since she saw some sort of trouble with pit in a vbac when she was a resident. My new OB will only strip membranes to get a vbac going (and only with a favorable cervix). New OB also warns against home measures like nipple stim and castor oil, saying those can be tantamount to the pit in some cases.
Good luck! I hope you go before 40w! I understand that angle, I have to go before 40w also for medical reasons (primarily clotting issues). But I have never gotten that far anyway.

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