Hi Kristen!
Choosing a Walt Disney World resort is the hardest part! Each one is so different and has its own lovable qualities. Out of the list you gave, my top resort is
Disney's Grand Floridian Resort & Spa. It meets all of your requirements, including TWO pools that have the zero entry feature. It has three quick service locations: two of them are at the pools and a third that is open 24 hours with one of the best quick service burgers at Walt Disney World. It has fantastic transportation to the Magic Kingdom via monorail or ferry boat and it's a beautiful resort. Your little Princess would feel right at home at the Grand Floridian.
Disney's Port Orleans Riverside is a gorgeous resort as well. For a little extra special fun, book a Royal Guest Room that has Princess touches all around, including a magical headboard.
Another option not on your list is
Disney's Beach Club Resort. You mentioned a zero entry pool is a must, so I'm assuming you have a swimmer in the family. Stormalong Bay is a 3 acre miniature water park complete with slides, a sandy bottom pool and lazy river. We stay at this resort every summer and never leave the pool on most days. This deluxe resort is located within walking distance to Epcot and Hollywood Studios or accessible by ferry boat.
Have a magical day!
Leslie