This paper seeks to understand the mutually affecting intensities in family households that occur through the use of energy for parenting, care and making home in the societal context of energy capitalism. Our work draws on sensual energy ethnographies with 13 families in regional New South Wales, Australia. We extend Deleuze and Guattarri’s related concepts of molar and molecular lines and lines of flight into energy geographies to draw attention to the socio-material, subjective and affective dimensions of being and becoming a parent, providing care and making home. In doing so, we open up questions around how families use energy and how this relates to the politics of care. We consider the possibilities for lines of flight to bring about social change to escape energy capitalism and help care for humans, more-than-humans and the planet.