A 12kWh array is massive mate (I’m jealous).
You might be surprised at how much you’ll generate ever in winter.
We’ve got a 4kWh array on a large bungalo, all the cooking and what have you are electric, we’ve done a cotton wash and dried it today. Cooked meals, had electric showers, boiled water for countless brews, defrosted stuff in the microwave, powered 2 fridges and 3 freezers, had the lights on and the cats heated blanket etc.
At 11pm I checked usage for the day and we’d used 83p worth in the 23 hours since midnight.
We were generating circa 1.5 / 2kW for about 4 hours (and a bit before and after) and it was enough to cover all the ‘high use’ activities.
On bright winter days we just stagger what we’re doing so that we don’t exceed generation and cause us to draw from the grid.
When there’s no sunshine going on we put the washer & tumble drier on overnight when it‘s only a fraction of the peak hour cost, but you’ll have so much generating capacity that, even on dull days, you might not need to bother with that.
I’m planning another 4KW array, on a south facing double garage roof and whopping great battery. Still be way behind your set up but should be enough for us to have nothing to worry about ‘except’ the standing charge.