Asking whether a Hyundai i20 3.Generation 1.0 T-GDI Select is a good family car, is not easy to answer from a technical point of view. The range of families requirements is wide, so this consideration only considers the common aspects.
The Hyundai i20 brings 5 seats with it which is basically good and sufficient for many families, but the car fluffs when it comes to the trunk - 1165 liters of volume might not be sufficient for most families. There are no Isofix brackets installed. These could be used to secure child seats easily and safely, via airbag deactivation, babies and small children could be carried along in corresponding seats against the direction of travel on the front passenger seat - however, this function is unfortunately not available on this wagon.