Maybe I'm overly pessimistic, I was fully expecting him to kill the mother and her kids to feed them to his family.
But if he doesn't feed them random unzombified passer-bys (is that really how this gets pluralised) AND doesn't leave the house, that opens to the question of where he is finding the stuff to make the gruel he's serving his family or the ingredients for a birthday cake ?
Well, I'm just nitpicking. That was good. It would probably work very well in a short serialisation (like two or three tanks, doesn't need to get dragged for years).