I looked up average for 2023 and it was right around 1000 kwh per household per month for all electric use, not just for heating.
For what it's worth, my average kWh per month use is 1,729 over the past 12 months. That's with an all-electric 2,300 sq ft home in the south (use more power in the summer than in the winter). And it includes charging the EV for 16K miles in the past 12 months (1,300 miles per month, not counting charging about 1K miles per month away from home in the total 28K miles we drove it the past 12 months).
That's how much power we're looking at the grid needing per home if we went all-electric and all-EV. (I pull less power from the grid now than before I went all electric because I have home solar providing 80% of my power. But most people won't do that, for some it wouldn't be feasible. The numbers I gave above is not from my grid-pull, it's from how much my inverters report they put onto my electrical panels -- how much power my home needed regardless of how much of it came from solar or batteries or the grid.)