Solar Edge means optimizer per panel.
To move the PV panels over to an AIO, you have to remove the optimizers and possibly rearrange string.
The string might presently be 24s, too high a voltage without optimizers. In that case 12s2p or 2x 12s might work for an AIO.
If RSD is required (likely for a newer installation) then you ought to replace the optimizer MLPE with something like Tigo RSD MLPE. Works without, but more recent regulations require.
SolarEdge can AC couple. It can do so gracefully if it can be reconfigured for Rule-21 frequency-watts (or maybe already is.) Without that it will cycle on/off and battery will charge/discharge rather than sitting at float.
Some AIO also support AC coupling. Because they are HF inverters, they typically need the SolarEdge connected to "Gen" relay for rapid disconnect. They behave most gracefully if AIO has DC coupled PV panels in excess of AC coupled.
I would use 2x SMA Sunny Island 6048US, the original AC coupling implementation. Because I'm a 100% SMA shop. I do that with Sunny Boy, not SolarEdge.
Schneider should be good too; I just don't have hands on experience.
I think but don't know for sure that if battery gets drained Schneider could connect to grid to charge back up. Sunny Island must wake up on battery first. Either way, it is preferable to shed non-critical loads so AC power stays on for critical loads and AC coupled grid-tie inverters.
Battery is an important decision. I've been using AGM which is dumb and simple. LiFePO4 has many benefits, including same or lower purchase price for 5x the cycle life. (my system was grid-backup so not many cycles needed.) You can run lithium batteries open-loop, telling inverter they are VRLA. That is simplest. Closed-loop can be a can of worms. Closed-loop can be done by EG4 PowerPro, Midnight (I think), BYD (expensive), and various DIY solutions.
And finally, SolarEdge may have a much higher failure rate than other brands. Not all models or installations do, but we've seen some reports. A reason to consider replacing with a hybrid/AIO.