The best place for a (low-risk, no complications) pregnant woman to give birth is the place she feels the safest, with competent midwives (at least two) to assist her, who have all the necessary equipment, including infant and adult resus, and drugs/cannulas/fluids to manage a post-partum haemorrhage.
The time an ambulance takes to get to your home is not time spent doing nothing: the midwives will manage any emergency exactly the same way it would have been managed at the hospital. For instance: for a post-partum haemorrhage, the steps are usually:
1 - Fundal massage
2 - Oxytocin IM
3 - Syntometrin IM
4 - Oxytocin IV infusion and hydration
5 - Bimanual compression
All those things are done at home by the midwives, or at hospital by the midwives. The ambulance will have harder drugs (carboprost/Misoprostol) that would only be given as a last resort when steps 1 to 5 have failed to stop the haemorrhage.
An undiagnosed breech presentation in a woman without complications will also be managed by midwives.
A shoulder dystocia will be managed exactly the same at home as at the hospital.
A baby requiring resuscitation will be managed the same at home as at the hospital. baby intubation and adrenaline infusion are last resort procedures that would not be done until everything else was tried.
Doctors love to tell women how "they saved their lives". However, after doing my placements at the hospital, I have been very surprised how they never tell women that, had they NOT been in hospital, most of these emergencies would not have even happened, as many of them were the result of unnecessary intervention due to reluctance to let labour progress at its own pace (induction of labour increases risk of haemorrhage; oxytocin infusion increases risk of haemorrhage, fetal distress, uterine hyperstimulation, malpositions and obstructed labour; frequent vaginal examinations increase risk of infection; epidurals increase risk of forceps/ventouse and cesarean section; directed pushing increases risk of haemorrhage, perineal tears and fetal distress... should I go on?).