Geothermal and Humidity

I'm thinking about a DIY emergency power system for my home and i was reading a article on the subject and the guy made alot of sense to me untill it came time to doing the math,lol. Here is what he has and says .... accessory , hours used , amp draw , amp hours used daily TV , 6.5 , 3 , 19.5 coffee pot , 4 , 2 , 8 4 light bulbs , 4 , 8.33 each , 133.33 small fridge , 24 , 2 , 48 , total 208.83 plus 20% for inverter use and safety , 250.6 He says a 1600 watt atleast would be needed for a inverter along with enough batterys to store twice the amount needed daily. I figure he would need atleast a 3000 watt inverter, am I wrong, please explain it to me.

I'm building a new house that will be super efficient... an idea that I had for some of the power is a small PV that charges a 12 Volt??? Battery. From the battery I will run LED lights for certain areas of the house... Thoughts? Websites? Suppliers?