For a start get an estimate of your power consumption, 6×116= 696W for lights only, you can do better and reduce say may be half of that to 3W per light. Get the wattage rating from every appliance you have and add that to get a total power consumption.
A pure sine wave inverter ( I would go with multiple inverters were I in your shoes not just one massive inverter) maybe one for your electronics and another for you heavier appliances like washing machines.It would probably be more expensive but it makes sense to me, since yours is not a backup but a primary power source. Your inverter capacity will be determined by the power consumption of your appliances, e.g. if your total power is 5000W you will need an inverter rated at more than that.
Batteries- Deep cycle, lead acid- cheaper, AGM and lithium- more expensive , higher quality and tech. The number will be determined by the total current your appliances draws, the higher this is, the more batteries you need, the better the quality and their capacity, the longer will be your runtime. Measured in Ah, the higher the AH, the better.
Solar panels to charge your batteries.
You will need an expert to put all of this into perspective, but since you are busy doing your homework you will know which questions to ask. Getting a solar system for a backup is one thing, it being your primary power source is another.