As far as parallel banks go, you can do it thru some creative use of diodes (yes, big ones, if needed) and your battery management system(s). BMS's are required for Lithium batteries (even individual 18650's can come with tiny ones already attached) and are designed to disconnect when they hit a specific voltage to prevent over-discharge. The bigger BMS's for modules are usually fully programmable. I'm
assuming that Nickel Iron batteries would also require some type of BMS. If they do, then there should be a built-in cut-off.
In my mind, I see Solar panels branching to both banks' BMS. Each BMS output, via their own set of diodes, then goes to the inverter. By using diodes on the BMS output, you isolate each bank from "seeing" and interfering with each other. When either bank reaches its low-voltage cutoff, it just disconnects. Now, there are some issues with spikes related to that, but that could be handled by utilizing capacitors. They're not that expensive and many car audio enthusiasts use them to handle peak loads from their amplifiers*. The caps would act as a buffer during switching or when you have a high-surge load like for a compressor.
OK, the question i think also brought up was using one bank before the other. i think you can, but would be slightly inefficient. Let's say you want your Edisons to discharge first. That's probably ideal because it allows your high-rate Lithiums to soak up any surges. So you wire it Edison BMS Output > Lithium BMS Input > Lithium BMS Output > inverter. You just daisy-chain them in order. Your BMS acts as your output "diode" to keep it all in one direction. If you were using Lead, i would go > Edison > Lithium > Lead > Cap > Inverter. Your Leads may not be able to handle the peak loads too well (Caps), and, of course, you want them to discharge least/last.
On the Daisy Chain, notice I didn't mention the Source/Solar as first. That's because it wouldn't actually be first, but parallel, like in the first example, to each BMS Input - with a diode on each leg. That way they can all charge at the same time instead of Bank 1 charging Bank 2 charging Bank 3. Some of that will happen anyway, but in addition to the direct charging. You still need that diode on the direct solar leg to keep the BMS's from interfering with each other, Bank 1 trying to use that leg to skip to Bank 3, or worse, feed back into the panels at night (for those that don't know, that's why panels should have a diode on them anyway and why I discourage direct panel-to-battery connections).
All battery Banks should have a BMS simply because they basically do exactly what you are describing, without having a separate contactor or switch and is a huge protection for your expensive investment.
Of course, i could also just be some random internet monkey banging on the keyboard.
* I saw one guy who left his truck lights on at work. Nothing but clicks from the starter solenoid. Opened the back of his camper, turned on the cap for his amp and was able to start his truck. That was one 12V cap smaller than a 500mL bottle - almost 20 years ago.