I can tell you what I put together that works as expected. I can't tell you how much power you will use, but I can tell you how much I am using. With a 18cuft refrigerator,
lights, TV, computer, clothes washer, and whatnot, I consume about 3500Wh per day, call that 3.5kWh. I'd guestimate that your needs would be similar, though that's for you to determine.
Here is a bit of math for you. Use this as the scaffold for your own design. That is if you find your number are higher, swap in your numbers. If your numbers are lower, then swap in those. The numbers may change, but the math stays the same.
Let's say you want to bump up the numbers slightly to 4000Wh per day. Let's start with your location's sunhours. Sunhours, sh, is NOT the number of hours the sun is shinning. It's the multiplicative factor you use to determine how many solar panels you need. Let's keep it simple. Let's say you get 2.5sh in December, and 5.0sh in June. You want to plan your system so that you get what you need on the worst day of the year, not the best.
4000Wh/2.5sh = 1600W of panels. That's not too much. I'm going to pick up some 260W REC panels next week at 65$ each, so that works out to be 390$ for about that power. Here's pic of an array frame I built that can hold 6 of those. Maybe you might not get the deal I get. Plan on paying 100$ per panel in the 250-300W range. Look for them on Craigslist.
You want a battery that can supply you with at least 4000Wh, but you don't want to drain lead batteries more then 50% to maximize life, and you want to include at least 1 extra day of power if a storm blows through. Let's say you go with a 24V battery based system. The math would be...
(4000Wh X 2days X 2fold battery size)/24V = 667Ah battery. Umm, that's pretty big. How about 48V instead?
(4000Wh X 2days X 2fold battery size)/48V = 333Ah battery. That's just about the size of a 6V Trojan L-16 RE-B battery (it's 377Ah). So, you need to wire eight of those in series to get 48V. At 350$ each, that works out to be 2800$.
You need a MPPT charge controller to take the raw solar voltage and transform it down to battery charging voltage. Assume your 16000W of panels gets transformed down to 50V charging. 1600W/50V = 32A, so you need a controller that can handle more than 32A. Take a look at Epever's 5415AN. On Ebay it's about 280$ right now. It has a max amperage rating of 50, and a max voltage of 150. If you bought 6 panels, you could wire two parallel strings of three panels wired in series. (write that as 3S2P). Each parallel string of panels would be putting out ~8.8A at 90V, so two in parallel would be 17.8A at 90V. The controller takes that power in and transforms it down to ~32A at 50V.
Finally, you need an inverter to convert the battery DC into household AC. Here is an inverter I have for my
workshop. it is sine-wave, so it can power things with an electric motor. Schneider's Conext 4048, at ~1500$ right now. BTW, it's split-phase, so it puts out both 120 and 240VAC. It also has a built-in generator charging circuit.
Avoid anything advertized as modified, or square-wave. It will kill a motor. They are cheap for a reason.
So, here's what will get you start
1600W of panels, 400-600$
377Ah Trojan battery at 48V, 2800$
50A MPPT charge controller, 280$
4000W sine-wave inverter, 1500$
Let's through in 1000$ extra for wire, breakers, electrical panels, and framing.
Total 6180$
One last thing. If you put your panels on a rotating array like what I pictured, expect your sunhours to double if you rotate your array east to west over the course of the day. So, with rotation you can expect 8000Wh in winter, and 16,000Wh in summer.