JohnDM

Good news!! everything connected, inverters in parallel mode, working fine!
Only one is providing load for now, but that, too, is working perfectly.
Thank you to  @Steve87, @TaliaB, @Calvin. Your help is hugely appreciated. Got me through a somewhat nerve-wracking patch!
 

Good news!! everything connected, inverters in parallel mode, working fine!
Only one is providing load for now, but that, too, is working perfectly.
Thank you to  @Steve87, @TaliaB, @Calvin. Your help is hugely appreciated. Got me through a somewhat nerve-wracking patch!
 

I decided to ask Bard this question, and here is the reply. I'd be keen to know if it's correct:
 
Yes, if you have two Kodak King inverters properly connected in parallel with their neutral outputs linked, closing the live breaker for the load on only one of the inverters will provide usable power to the load. Here's a breakdown of how it works:
Parallel Configuration:
In parallel mode, the inverters synchronize their output voltage and frequency, creating a unified power source. They share the load, effectively doubling the available power capacity. Neutral Connection:
Linking the neutral outputs ensures a common reference point for the AC voltage, crucial for proper operation and safety. Load Isolation:
While the inverters are connected in parallel, each has its own live breaker for load isolation. Closing only one breaker routes power from that specific inverter to the load, while the other inverter remains in standby mode.  

I decided to ask Bard this question, and here is the reply. I'd be keen to know if it's correct:
 
Yes, if you have two Kodak King inverters properly connected in parallel with their neutral outputs linked, closing the live breaker for the load on only one of the inverters will provide usable power to the load. Here's a breakdown of how it works:
Parallel Configuration:
In parallel mode, the inverters synchronize their output voltage and frequency, creating a unified power source. They share the load, effectively doubling the available power capacity. Neutral Connection:
Linking the neutral outputs ensures a common reference point for the AC voltage, crucial for proper operation and safety. Load Isolation:
While the inverters are connected in parallel, each has its own live breaker for load isolation. Closing only one breaker routes power from that specific inverter to the load, while the other inverter remains in standby mode.  

Thanks, Steve. 
That makes perfect sense, and you've put my mind at ease about parallel operations.
So assuming I opt for a parallel setup, I have one more concern, which I'm hoping you might be able to help with:
On very cloudy days, I run a generator if the batteries need topping up.
In the past, this was connected to the "Utility input" on the single inverter.
So, under the new arrangement, should I connect the generator to one, or both, of the inverters? And will it present a synchronisation problem if I start it up? Or would it be better to shut down the second inverter and revert to single mode, before starting the generator?
I really appreciate your help with all these questions. I've done my best to research these points using the manuals provided, but as someone said elsewhere on this forum, the documentation available is notable for its paucity, and I'm by no means an expert on things electrical.