S.E.
We have the BOB Revolution double stroller for our twin girls, who are almost two. We absolutely love it. It would satisfy all of your wants, with the exception perhaps of the large accessible storage basket (you're right, that is a dream on a jogger). Our girls are pretty tall, too, and they still have plenty of room to grow. They also have lots of cool accessories like dual cup holders/zippered pouch that fits over the handle and faux sheepskin liners for the seats for those cooler days. We use it everywhere, not just jogging, and it fits easily through standard doors. Good luck!