I also vote for the Polynesian due to the convenience factor:
*boat or monorail to the Magic Kingdom (personally we
always take the boat unless we happen to be heading there directly from the Kona Cafe in the GCH in which case the monorail station is closer. Some longhouses are closer to the marina while others would be closer to the GCH/monorail).
*a short walk to TTC to take the monorail to Epcot (quick and easy!).
*bus from in front of the resort to AK and MGM OR bus from TTC (well a bus is a bus

).
The zero-entry pool would be great for you and your little DD
The soft white sandy beaches are a great place for your DD to play on, nice hammocks for you both to cuddle in, AND the BEST place (outside of the park) to view the fireworks from!
If you do decide to try concierge, you'll have the added security of being in a longhouse with locked entry; only guests staying there have a key that will open the doors. Not to mention the aforementioned continental breakfast each morning, snacks during the day, hot and cold appetizers and desserts and cordials at night, as well as availability of fresh fruits and beverages all day long.
I have a ton of pictures from my many stays at the Polynesian on my web site. Click the link below, then click on the "Disney World trips" link and it'll take you to the sections of the Disney resorts I've stayed at. Be sure to check them all out because I have pictures of different things on the different pages.
Enjoy, and have fun no matter where you stay!
