MY DH was a little worried about it at first too. Most are, I think. But research is showing that homebirth has outcomes for mom and baby that are equal to hospital when you consider the mortality rate, and better than hospital when you consider the intervention rate. There was a Canadian study published recently with that info. I think I posted it here a while ago, but I could try to find it back for you if you want.
For what it's worth, mine is also totally convinced now that home is the BEST place to have a baby. I've had #3 at home, #4 in hospital (I was GBS positive), and #5 at home, and I think he's almost a bigger advocate for it now than I am.
Your DH most likely wants you and baby to be as safe as possible - you can show him that home is where it's at.
All the best!