AC is great for long distance and certain applications. DC is great locally. The bridge rectifier should be between the grid & the home battery, not between the home battery and the devices it is recharging and/or powering.
The exception to this are high power home applications: Stove, Oven, Microwave, Toaster, Fridge, Dryer, Washing Machine, Dishwasher. The battery charger can be on the same circuit set.
Note that TV is NOT on this list. All video screens can be low power these days. All lighting can be low power. There is no reason why this can't be a simple 5V, 4A circuit with USB compatible plugs, several to a room.