The 4 parks are in all directions, so if you stay at the All Stars you are super close to AK. Stay at POR/POFQ and you are close to Epcot, etc., etc. Still, from any resort (value/moderate) to any park is about 15 min. Farthest park 20-25 min.
If you decide on Value, I would choose Pop. Has best food court, plus you can cross the lake bridge and visit AoA and their food court. Pop beds are doubles. My favorite resort is POR/POFQ. Wonderful, shady, laid back, plus the boat to DTD is priceless, and your DS would enjoy the horse and carriage on the main path in the evenings. Moderates also have pool slides. Live family entertainment Weds-Sat, and you can visit both food courts, just a 15 min stroll to the other resort (or take the boat). I believe POR/POFQ have queen beds, now.