I know nothing about what I use in power. But I know I have no gas & no electric. I have a small electric water heater, electric stove & a mini pro AC / heater. It sit on a 8 beautiful acres at the edge of the San Bernardino mountains. It's a small ranch, three small bedrooms, tiny dining room & kitchen. But it has a huge add on living room & garage. I don't really know what my power use will be. I do use tools on occasion that pull amps. Air compressor, Arc & Mig welder.
Ok.
List the items that you power.
Assume all your lighting is LED. So, around 90W for the house lighting.
What part of the world do you live in? Winter temps? Summer temps? HVAC is a big consumer of energy, we need to know the wattage of the units. But we would also need to know the runtimes, so the climate you are in is important.
An electric range will be around 7000W with everything running, burners are around 2000 watts on high, so, the amount of cooking needs to be considered.
Microwaves are sold by output wattage.
Home electronics, TVs etc, will have a wattage listing on the back, or at least an ampdraw we can multiply by the home voltage to get watts.
Add everything up. It helps to graph each item wattage, then list the time per day multiply each out to get watt hours.
Add up all he watthours together, and you have the daily requirements of power.
Then you need to know how much sun you get. Irradiance map surveys are available for most areas, google solar has a cool visual map site.
Next, you need to decide weather related solar blackouts prevent regular charging, so multiple days of battery storage becomes a calculation… 1 day storage will require running the generator in poor weather. 2 days, gives you a small cushion of weather issues, 3 days improves your tolerance more, etc…
Next is the solar charging. You want enough solar wattage to replenish the battery in a day, so, total bank Wh divided by your irradiance solar hours. Tells you how many watts of PV you need to have.
Then it comes the inverter to choose.
Pick one that has the lowest standby wattage, or overhead consumption… low cost inverters have huge overhead… so shop and search for recommendations here.
You need one with output that covers all large loads and can surge, if motors or other inductive loads operate.
Post up what you come up with here and we can assist.