It sounds like you have a good attitude, OP.
I think the breathing techniques will help you with any contractions you are having without having had an epidural. Once you've had an epidural, if you have one, you won't need them.
From all I've read I think induction probably does increase the risk of further interventions. But many women have very straightforward and positive inductions. The determining factors seem to be how favourable your body is to an induction and whether your baby is in a good position. My own personal view is that other than the breathing exercises, the best thing you can do to prepare for giving birth is try to optimise your baby's position. So no slouching on the sofa, sit on your ball as often as possible and do lots of walking. Maybe some pregnancy yoga if you feel like it.
I live in France, where the vast majority of women have an epidural and most hospitals have a policy of inducing at 41 weeks if the woman hasn't gone into labour spontaneously before then. That was pretty much my doctor's philosophy, and he said most of his inductions go smoothly and take 6-8 hours. If you have syntocinon and and an epidural, you won't need breathing exercises, you'll want episodes of your favourite series downloaded onto your phone and sugary drinks to keep your energy up.
Although my personal preference was for a lower dose epidural so I could stay mobile, there are plenty of women who go in to be induced, get an epidural straight away, lie down on the bed and watch TV or read magazines until it's time to push. But that makes a very boring birth story so we don't tend to hear about those.
Ultimately I think what you do or don't do will make very little difference to the outcome, which will be largely dictated by your baby and your body.
If you're consultant led and already booked in to be induced, my guess is that they don't want to take any chances with you after so many miscarriages. Yes, that probably means a lot more monitoring, and a lower risk threshold for moving to an emergency C-section. But it also means you're in good hands, being looked after by an experienced professional who's seen it all before and whose priority is to get your baby here safely.