A lot depends on the size of your kids, and the layout of your neighborhood, and your local climate. In my neighborhood (south side of Chicago) a lot of people schlepp their kids around on the back of bikes (electric or otherwise), either long bikes with a[n extra] seat on the back, or with a trailer, or both. Not sure how that stands safety-wise, but it sure is a lot lower-impact than even my Prius hybrid. Anecdata, but I feel like I'm seeing more of these families lately.
edit: add clarifying word