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Just to add a couple of thoughts about batteries -
You generally shouldn't draw more than 50% of the stated capacity of the batteries before recharging. The less the better. Lead acid batteries tend to give up the ghost if you discharge them too deeply. Batteries are usually rated by cycle life - the deeper and more often you discharge them, the less they will last.
Also, lead acid batteries lose 1% capacity for every degree below 25C. so if it's zero degrees in your battery shed, you've effectively lost 25% of your capacity at that time.
My batteries (I'm off grid) are 660 amp 2v cells in series for 24v - if I could have afforded twice the capacity, I would have got it - three gloomy days and I have to start the genny up.
Lithium batteries would solve the temperature/discharge restrictions but they seem to be very slow to come on to the market for off grid supply. The last time I checked, the Tesla Lithium weren't suitable for off grid although there are other technologies starting to appear.
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