kWh is a measurement of energy, kW is probably the measure of power drawn that you are looking for.
The cooker will draw up to 7kW, as will your electric shower. Your electricity supply is limited to 100A (I think?), and this is unchanged. My charger has a CMD on the house input to ensure that this is never exceeded, but since no one in the house has a shower for longer than 20 minutes, that isn't a problem for the charger.
Also, and more so now we have a cheap rate overnight, the car gets charged from midnight, at which point, very few people on the road are having a shower or cooking sunday lunch.