The other big thing is that parks often have much better equipment than people's back yards. A lot of suburbanites buy their kids swing sets, which are usually not well designed and of poor quality. Most urban parks aimed at kids have lots of professionally-designed equipment that is well made and keeps kids attention much longer. It's also much easier to find a full-size basketball court, tennis court, etc.
You don't have to plan a trip to the park if you actually live in a walkable area. You just walk to one.