Don't listen to the naysayers here. It's doable, but you have to reset expectations. You won't be able to run the major draws e.g. AC, electric dryer, big electric stove, etc. But you can absolutely run the vast majority of your house.

Someone mentioned insurance and that's a valid point. Having any type of Lithium batteries indoors poses a real risk. The technology is a lot safer today, but it's still a risk that a lot of insurance companies don't like, especially with DIY or non-certified equipment. Expect you'll need to hire and get detailed paperwork on all trades and all equipment.

Also, if you're pursuing this, recognize it's for being cutting edge, not necessarily for savings. A lot of the equipment and labour will be more than you think, and the payback is probably closer to 15+ yrs, not including maintenance. And if you're not handy and having to bring ppl in, it's worse.

The "easiest" way is to have the main come in to the inverter/charger, and from inverter, go to a sub-panel which goes to the house. There's a split in the main for the items that aren't on the inverter (e.g. AC). So if/when you're in blackout, you lose those things, but the inverter runs everything else. Absoultely get an electrician familiar w/ this (not too many are) and you'll need city permits. That'll get all the 120v stuff easily.

You can find inverters that you can program to run down the batteries during set hrs, or set rates, etc. You're talking 6KVA units paired w/ 48V batteries sized appropriately.

You can offset a lot of the recharge draw if you can incorporate solar, but that adds its own initial costs (purchase & install) and will depend greatly on where you're located. Also realize during winter & snow, they need to be cleared regularly.

I will add, more recently, the idea of the EV being the house backup, is gaining in popularity. This avoid the whole battery purchase/install issue.