A typical electric dryer is 3000 Watts. If you do 2-hours of laundry one night, you'll need 6kWhr storage JUST for drying (not even laundry) !! You might typically need 15 kW of storage per day, but you'll need 20kW or maybe even 30kW of storage to be comfortable and cover all possible use cases.

A city can take advantage of this in several ways. City-scale can allocate the average 15kW-hrs of storage needed for a typical night, and then maybe 2.5kW-hrs of "non-typical" storage that's shared between the whole neighborhood. Across 100-households, this +2.5kWhr "excess" can be allocated to ~40 households... and each of those 40 households can go +6kW-hrs above typical (ie: decide to do laundry that night).

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Some things will scale better on a per-house level. Air conditioning is almost certainly better per-house, because its somethings the whole neighborhood needs at the same time. But there are better technologies out there than Li-Ion batteries, such as Ice-Bear's thermal energy storage. (https://www.ice-energy.com/)

Store 50F water during the night inside of a highly insulated tank. Blow cold-air (from the 50F tank) to cool the house during the day. Modern insulation can keep a tank of water cold for many, many days, and water is about as cheap of a "energy storage" mechanism as you can get.

This "demand-shift" technology is best served by a smart-grid: if the city can provide a floating-cost of electricity, and also inform appliances that the cost of electricity is changing... then those appliances (ie: Air Conditioners) can turn on when the price of electricity is cheapest.