This is our home setup for a 6kva genset (tested output 5.6 kva). 15 A plug and runs the whole house easily. We do cook on the deck with gas appliances normally anyway so don't use the electric stove, microwave or kettle with the genny. Throw the billy on the wok ring for a cuppa.
We have two full size 'fridges, a three quarter size stand up freezer, beer fridge on deck and the 40 litre Engel and run all, no problems plus the pump for house water, lights, 'puter and if necessary, the telly.
Genny has AVR.
The board was installed professionally.