Some/all inverter chargers have a 120v "pass through" (by internal switch) in the inverter section for when on shore power. So all they need is the usual transfer switch between generator and shore power.
Here we have an actual inverter so no pass through etc so you have to be on one of three 120v inputs and never on more than one of them at a time.
There is also a side issue of switching time so you don't lose your television settings--people use an inverter/battery UPS set-up for that
We have had threads on this sort of set-up before. It doesn't matter if it is a 5000w inverter or a 1000w inverter doing "whole house" the transfer problem is the same.
( We just plug the shore cable into either the shore power, generator, or inverter(converter off) so I am the transfer switch. :) But I know there are clever ways--you have to pick which is the primary source for the transfer and which the secondary ISTR)
Over to the experts on all that like smk.
