Hi: We did this for our 25th anniv family trip. First 4 nights at the animal kingdom lodge in a savannah view room. Which we really enjoyed.
The morning we moved we had our car so we loaded it up, drove to the animal kingdom park, spent half a day there and then headed over to the poly.
It was for 6 nights. In the begiinning we had a garden room only, and as time got closer I was able to change our ressie to a great code for $45.00 more a night move to gardenview concierge. We loved it, the availability of snacks and small meals all day was fab. The view of the magic kingdom castle, grand fl and cont. is fab from the lounge in the hawaii bldg.
I think with little ones the breakfast, snacks fruit, juice, soda, bottled water and a light meal at dinner time, also deserts at around 8 p.m. would be a great asset. You can take what your family will eat back to your room,
Now being from canada with the huge exchange rate on our money we were not booking any special sit down meals, just quick meals, so we ended up eating most of our meals at the poly. Lunch we would buy in whatever park we were in. But we were eating lighter as it was in the high 90's and the food was great. We ended up doing less park days than we had expected due to the extreme heat and everyone wanted to hang out at the poly most of the day and just plain relax, so that is what we did. So having the snacks and drinks, bottled water and the complimentary refrigerator in our room everything was great.
With little ones I would still do a character breakfast, maybe in one of the parks you will visit, but do this when you are staying room only, or you could do it while staying concierge, but eat the breakfast they offer and pick as late a time as possible for your character breakfast and use it as a brunch/lunch.
We just loved our time at the poly, if I could go back again I loved the animal kingdom lodge, but if I had one resort to pick it would be the poly for its tropical atmosphere and large grounds. I was glad to have had the experiences at the two different resorts.
Deb.