The first time we took my son, he was 3 (we left my DD with my folks, as she was 1 1/2, had just weaned herself, darn, and really took LONG naps, 4 hours sometimes, as well as slept 12 hours at least at night, and they live 3 hours from WDW).
We stayed at the GF (where my DH and I had stayed on our honeymoon). We got a great deal through SOG.
We brought a stroller that reclined nicely, so he could nap in it. My DS is ADHD, so gets over stimulated. He actually did so well at WDW I couldn't believe it. We never went back to the room during the day! We stayed 3 nights (were going to stay 4, but I had issues leaving our DD for so long).
Next year, we drove down with our kids, and stayed 11 nights. We got a BWV one bedroom villa. OMG, it was so nice. I LOVED the kitchen and the washer/dryer! Plus, my kids instantly LOVED Epcot so much, it is still their favorite park!
I guess my point is, that although I have loved the GF, I haven't been back there to stay. It can be expensive, and MK isn't our favorite park. We didn't need to go back to a hotel room during the day at all; there are so many places you can go and chill out. One afternoon (on our first trip as a whole family) we chilled out at the Bawa Bar at DAK - the kids were sound asleep in their double stroller (our Peg Perego tandem twin) and DH and I had a beer (or a few). There are so many quiet places, that really you can find one at any park or DD.
Now, I do LOVE the GF. It's just quite expensive. We really love the Boardwalk area with young ones. If you bring a stroller (which I've done until my DD was 9), you can walk to Epcot and DHS. It's so convenient.
I like a resort that you can walk somewhere. That is why I love the Boardwalk area - you can walk to either the Swan/Dolphin (deluxe at half the cost), the Boardwalk, the Yacht and Beach Club, plus Epcot and DHS. Bring a stroller and you are set. Plus, when you are heading back to your room (and most nights we are too tired for Illuminations, but love to see it one or two times a trip), the Boardwalk is lit up with cute entertainment. You won't find that anywhere else.
The monorail is great for MK, but anything else it's a pain. I won't stay at a monorail resort again, as MK is fun, but we only go there for a couple of hours at a time in the morning. (my son has asthma plus ADHD, so we get a pass for him to wait in an alternate area, he gets worn out).