I'm in a relatively small UK house. Selling power back to the grid doesn't get you lots of money these days, so the emphasis is on using batteries for night time use. Running off-grid isn't really something that is done, in urnban areas anyway.
Heating is gas, the hob is gas
I have 3kW panels and a 5KWh battery. During the summer hot water is heated through an immersion heater from solar - my electricity bill is roughly zero and I get to sell a bit back. During the winter - forget about it.
That's exactly how you should do it, I think. Generate as much power as you can use for yourself, fill a battery for the night, repeat that cycle.
My landlord installed a 30 kW peak solar system (two households, six childs/people), installed a heat pump and insulated some walls that were not insulated before. Surely a hefty invest, but external power usage has dropped pretty much to zero from February to October. Even after that it's minimal.
Heating is gas, the hob is gas
I have 3kW panels and a 5KWh battery. During the summer hot water is heated through an immersion heater from solar - my electricity bill is roughly zero and I get to sell a bit back. During the winter - forget about it.