To use it effectively you want one with water jacket and just use that hot water with your normal house heating system. You don't need much power to run circulation pump so UPS + some solar panels should be enough even in deep winter. There are also systems that get it out of the exhaust but that doesn't get you much heat storage, just instant heat and generally less efficient.

Old school version of that were masonry stoves that come with ton+ of mass for the bricks and smoke being routed all over (often including a place to sleep) to take as much heat as possible from it.

If I had money for that I'd put a big hot water tank for buffer, heat it normally with heat pump, and just had emergency water-sheathed fireplate, with big buffer you can just fire it up once and have tank slowly give the heat back to the building. Or fire it up at the coldest days to save some heat pump power in days where there is barely any solar.