I have the same DuraMax generator, never used gasoline in it, just propane, it is the one I use the most.
There is a backup to it, 2,500w gas only. used it for years, two oil burners and a fridge and freezer.
Then I have a Coleman 7,500w gas job that is 30 years old, never run it,
no need to, it sits dry today, ready if needed.
Then I have a USGI Diesel that is 25 kw, 3 phase, set up to run shop if needed,
have never used it, just test it every year.
The only things that need to be run are two oil burners, two refrigerators and two freezer chest.
The lights will come off of that also, but they are really not needed,
have plenty of oil and kerosene lamps for that.
The 4,400 will do the job nicely and is not too thirsty.
I bought the dual fuel for the propane side, stuff stores forever,
have 10 twenty five pounders for it and 6, 100 pound tanks.
The hundreds are backups for the backup heaters or the kitchen stove.
I back feed through a 50 amp welding outlet,
#8 SO wire for feed from genset
(use same as an extension for the MIG welder when I need to take it outside).
The Coleman has its own wiring underground to the distribution panel.
Why go too big on a genset? All you will be doing is burning needed fuel making power that will go unused.