I think I'll probably take row 2. It's away from coach, close to the bathroom for the kids, we get our food quickly, and it's on/off the plane super easy. I'm not a fan of the bulkhead rows because of storage space and foot room.
With young children I'm always looking for ways to make a 6-hour flight as easy as possible on everyone. Fortunately my kids are really well behaved so they won't bother the other people in FC. I know sometimes frequent flyers who upgrade (or pay) to First can give me the stink eye when I have the whole family in First.
Thanks for the advice everyone!