I have stayed at both and like pp it does depend upon your families personal preferences. What I liked about AoA, 2 bathrooms!!! 2 TVs and a bedroom with a Door! Also having the extra space and the dining room table and little kitchenette was nice. We would often get our food from the food court to go and eat in the room. The bus stop is a one stop so you don't have multiple stops like at POR. Everything was very close, especially if you are staying in Finding Nemo Suites. Finding Nemo, Lion King and Cars are all suites and are the same layout and size, but with the different themes. What I did not like, since it is new it is busy, and at the bus stops at the parks to get back to AoA always seem to have the longest lines. We went in September, during the slow time and we waited for about 30 minutes outside MK one night to get the bus because the line was so long. It took 3 of the extra long buses to get everyone picked up. This is only a problem when leaving the park after the shows, Wishes, Illuminations and Fantastmic. We even jumped on Pop Century bus one night and walked across the lake to AoA rather than wait.
POR-the Princess rooms are AMAZING. The room is standard issue hotel room much smaller than AoA. The resort is so spread out that it takes forever to walk anywhere. The feature pool is nice and has a slide. (AoA does not have a slide, but does have a splash area) You really feel like you are in middle of nowhere and it always is quiet. Your walk to the main food court and main pool will be further at POR and they have mulitple bus stops so it seems to take forever to get to the park as you wind your way around the resort.
You can't go wrong here, it is just a matter of which will work best for your family.