First was born at hospital after a too long labour at home...amusing (well we laugh at it now!) story of me directing the relief ambulance team to the hospital whilst the wife was swearing at them!
Second was born very quickly at home..the midwife arrived and ordered 'gas & air' from the hospital...a taxi brought it and it arrived - 10 mins after the birth!
Both times we hired a pool which was great (and brilliant for the first couple of weeks after the birth - usual hire length a month), although it was a bit weird effectively having a 'hot tub' in the living room!
I think the whole thing is down to the confidence of the woman, but from the birthing classes we attended there didn't seem to be too much encouragement to go down the home birth route - probably due to shortage of midwives!
Advantages: you can do your 'own thing', put on music, watch TV etc. 'One to one' midwife care. You remove the risk of hospital infection!
Disadvantages: you have to be prepared not to go down the 'epidural' route for pain relief, and also be prepared that you may have to go to hospital if there are any complications..
Interestingly (in our area anyway) maternity units in hospitals often get 'full', but if you start labour at home and then have to go to hospital, they have to admit you instead of being ferried around looking for an open unit at 'busy' times..
In the case of the second, our 2 yr old was upstairs during the actual birth, but was brought straight down for the 'cord cutting' - and said 'why can't I have a clean sister'...