Chad,
Picking the winning lottery numbers might be easier! This is such a tough question without any parameters such as budget and touring party ages and numbers.
Concentrating on only the Magic Kingdom,
Polynesian is my personal choice for location and convenience of the monorail and boat launch. Plus you can easily push a sleeping child in a stroller on the monorail.
Visiting all the parks with children and strollers?
Yacht and
Beach or the
Boardwalk allow you boat or walking access to EPCOT or Disney Hollywood Studios. It also makes it a great location for ECVs (electronic scooters).
Older children without stroller and who do not need a nap,
Port Orleans Riverside. While you have to ride a bus to all the parks, it is a quick ride to them all and a lovely boat ride to Downtown Disney as well. Southern hospitality is at its best here.
You can tailor your needs to one of these suggestions, and if you would like specific to your party, send another question to myself or another mom so we can help!
Have a magical vacation!
Beth