(Heat pump) Hot water heaters and washing machines are not major power draws. Some rough figures on power consumption of typical appliances, from most to least

(Heat pump) Hot water heaters and washing machines are not major power draws. Some rough figures on power consumption of typical appliances, from most to least: Continuous-flow electric water heater: 20 kW Heat pump or central air, big home: 12-15 kW EV charger: 7 kW Electric tanked water heater or hybrid water heater in electric mode: 7.2 kW Clothes dryer with heating element on: 5 kW Heat pump or central air, small home: 3-4 kW Electric oven: 3-5 kW Induction range: 1.8 kW Instapot: ~1.5 kW Toaster oven: 1-1.5 kW Electric kettle: 1 kW Microwave: 1.2 kW Dishwasher: ~500-1000 W Heat pump water heater: ~600W Washing machine: 500 W Vacuum cleaner: 200-300 W Home server or desktop: 100-200 W Box fan or air purifier: 100 W Laptop on fast charge: 65W Laptop on slow charge: 30W LED light bulb: 12-15W Cell phone charger: 6W For reference, 200A electrical service can supply up to 24 kW of power, and even 120A service in older houses is good for about 14.4 kW. Individually coordinating appliance loads or including a battery with each appliance seems like an inefficient, expensive and unnecessary extra step. Basically, all you need to do is a.) charge your EVs at night when nothing else is running b.) don't use electric water heaters unless they're heat pumps and c.) insulate your home if you're using heat pump HVAC. All of which you should be doing anyway. The kitchen appliances are easily manageable if the EV and HVAC are not running at the same time, and everything else is rounding error. There might be some benefit to grid-coordinating EV charging and heat pump HVAC operation, particularly since these are the cases where naive loads all hit the grid at the same time, and they already come with batteries included (literal ones for EVs, thermal batteries for HVAC). For smaller appliances it's totally unnecessary though.