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Wii U for each household with:
Super Mario 3D World
New Super Mario Bros U (optional: Luigi version)
Nintendo Land
Lego City Undercover
Optional: Sonic All Star Racing
Optional: Disney Infinity
Extra Wiimotes

3DS for everyone with:
Pokemon X/Y
Luigi's Mansion
Mario and Luigi: Dream Team
Mario Kart 7
Animal Crossing for the girls (and maybe the young boy)
Zelda: A Link Between Worlds or OoT 3D for the 13 year old

Sprinkle in some Wii games and DS games if you need to spend more moneys. PS4/One don't seem to have many games for kids yet so maybe go for a PS3 if you have even more money you need to spend.