We owned a ford Freestyle (7 seats, bench for 3 in front and for 2 in the 3rd row) and loved its versatility while we only had one child. We got rid of it due to a financial crisis and are now considering getting another one. However now that we have 2 kids, we're not going to get one with a bench in the middle, but one with only 6 seats, 2nd row has 2 captains chairs and back bench for two. The reason is that its a pain to move car seats around and car seats don't fit well on the middle part of the 2nd row bench. Also we don't want one with a center console as that makes getting to the back bench rather awkward/impossible. The Freestyles/Taurus X's that have a split back bench would work well for 3 kids as you could fold down half of the back bench to accommodate your dog rather then putting him in the last seat, or use that part for storage. With all seats up there is room for a medium sized cooler and our stroller, but that's about it.
I don't know if the Traverse has the option of captains chairs. If not you might want to look elsewhere, or be sure that all three car seats can fit on the bench, because moving a car seat to flip up part of the bench to access the back row on a regular basis would be really inconvenient! :)
Unfortunately the Freestyle/Taurus X is no longer available and though the Flex does have 6 seats, it has a center console between the 2 captains chairs of the middle row.
We're also considering getting a mazda 5 (mini mini van they call it), it also has the 6 seat configuration that we like, but gets better gas mileage. Its a little smaller though.
Hope this is helpful. Minivans are great for seating if they have captains chairs, but I'm just not interested in getting one. :)
Hope this is helpful, we've been researching for a few months as we await our tax return. ;)