What you want to build is certainly possible, but you will want a pair of seperate BMS's to enable splitting the pack and re-combining parallel for your home energy storage.
You may find you can skip the inverter and just run all modern home appliances straight from the pack 90vdc. Only a few things like a table saw and older refrigerator/freezer or older AC units would care about needing AC over DC (though obviously test to confirm with a current regulated DC power supply before connecting to the pack in the event it doesn't like DC). TVs, laptops, drills, grinders, vacuums, induction hotplates, projectors have all worked fine in my own home tests running my house from my 28S Zero DSR pack during power outages. This doesn't mean everything you try to plug in won't just immediately explode into plasma or have the switch plasma arc from not being able to break DC when you go to turn it off, but it is at least worth testing if what you've got just natively runs safely on your pack's normal voltage without needing to split it and parallel it or buy an inverter and eat it's added efficiency losses.
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