More control over the children than in an apartment complex . In a neighborhood, kids usually play in the yards or go to friend's houses a few doors away. My clients have told me that in an apartment complex they never knew where the kids were. They could be in any of hundreds of apartments, doing who knows what. In a home you get to know the neighbors and watch out for each other's kids.
Children do better in school and feel more secure.
This one surprised me, but buyers have reported to me that their kids calmed down in school after they bought a house. I don't know why, but it seems to work that way. I remember a single mom watching her son play in the yard, making steps in the slope and building things. She didn't have to tell him to leave everything alone, like she did at the apartment complex. I guess kids feel the same need for control we adults do.