I have three little girls 4, 2, and 1. We bought a toyota sienna when there were just two girls but I love it. I really didn't want a minivan and really didn't want to be a "soccer mom". I have found that it drives very well. I was worried about turning into parking spaces and such, but feel that it actually turns really good. I also think it handles well in snow, if you are in areas for snow.
I was actually in a accident when I was pregnant with number three and had the other two girls with me. Another driver rearended a vehicle in the opposite lane and that spun the car into my lane. Thankfully no one was hurt and the van went into the ditch didn't roll even though the driver's side tire broke off the axel. It was repaird with all OEM parts and still is as good as the day we bought it. (acident happended after only having it for 7 months)
What ever you decide make sure you test drive them to see how you like the fell of it. I test drove other vans such as a dodge carivan but didn't like the feel.
Good luck, there are many vehilces out there that will have room enough for our growing family.