> Can't imagine poor people living in older buildings will ever get that
Less of a problem than you think. Car ownership is much higher in middle and upper classes, than working class. It's also less common in the densest populated areas, because residential off street parking is barely a thing in the UK.
I imagine there'll be a mixture of solutions: possibly-robotic services to shunt parked cars around (for the few charging spots), car clubs, battery swaps, fast/high wattage charging, converting substantially more street parking to low wattage charges...