I can expand a bit on my first post. That is more of a lower end system, that will meet your basic needs. At my own cabin, I have an even bigger system, that handles far more then what I just outlined. In addition to the day to day loads I mentioned above, in the summer, I use my solar system to pump water to irrigate my orchard, which is about 120 trees right now. I need a system that can run my 1hp 240VAC Grunfos pump, and I need to put out 2000+W from 8am to 4pm on any given day. In summer I make between 20-25 kWh of power when I'm running the pump.
It all works, but it has 4500W of panels instead of 1600W, a XW+6848 inverter instead of the 4048, and Rolls 568Ah batteries instead of the Trojans. So, besides the 3500Wh base load, my large system can run the well pump, and also a 8000BTU air-con upstairs in the bedroom.
A few terms to help with electrical planning. Amps X volts = Watts. So, an automotive headlamp with 10A of consumption uses 10A X 12V = 120W. A kitchen toaster that uses 9A consumes 9A X 120V = 1080W.
In series, volts add while amps stay the same. In parallel, amps add while volts stay the same.
The older charge controller technology is called "Pulse Wave Modulation", or PWM. It is basically an on/off switch that shuts off panel current once the battery is full. You must match the voltage of the panels closely to the battery voltage or the battery gets damaged. Today they are relagated to low-end budget 12V systems of just 100-300W. Newer "Maximal Power Point Tracking" or MPPT controllers act as a transformer, converting raw high solar voltage to exactly the voltage the battery wants. This allows you to run high voltage strings from panels hundreds of feet away with only thin copper wire, because voltage drop is the biggest enemy of 12V systems.
I apply this myself by placing my arrays in the sunniest spots as much as 130' away from the controller, and run 120VDC to the MPPT controller. It takes that raw 120VDC and transforms it down to the 50-55VDC the battery needs to charge. Compare this to a simple 12V system with a PWM controller. You can't use panels with a voltage >18VDC, and can only be spaced a few feet away from the controller because of voltage drop.
The last thing I can mention at this point is shop locally for your solar panels, instead of online. Shipping is the killer for solar panels. Shop online and you'll pay 1-2$/watt for solar. Locally, you can get 3-4W/$. Don't worry about buying used panels. The MEASURED production of quality used panels I bought is higher than the retail Renogy panels I bought new.
Don't buy a cheap inverter off Amazon or Ebay. Buy your electronics from a reputable solar company. I bought from
https://ressupply.com/. I would stick with brand names like Midnight, MorningStar, Outback, Schneider, and Victron. Epever though is a mid-quality brand for charge controllers that you can buy on Ebay. Beware though that there are Chinese fakes out there. Some other solar beginner here just bought a fake controller. Money totally wasted. If the shipping weight of some electronic product is 8oz, it's a low-budget fake. If it weights 8lbs, you are getting a real unit.