For a quick and dirty short-term solution that wouldn't break the bank, I would just install one 420W solar panel and a Victron 75/15 charge controller, as
here. According to the Victron charge controller's specs, it can handle up to 440W at 24V.
That means during the day, your batteries will last much longer if you've got load shedding. The batteries will also wear less since you'll probably not drain them as much during daytime load shedding.
If you don't have load shedding, you'll have the added benefit of the batteries charging faster since they will be charged by the inverter as well as the solar panel. <- This is not true, as pointed out by wingnut771
The solar panel will cost about ~R3000 and the charge controller R2000, R500 for cables the whole affair will set you back about R5500. And it is super easy to set up, just connect the batteries and solar panel to the charge controller, and it'll do its thing. The charge controller I linked has the ability to connect to your phone via Bluetooth that way you could configure it for your lithium batteries.
If your base load is about 400W (that's the internet, a TV and a few lights), you'll basically use no battery power during daytime load shedding and your batteries will stay full for nighttime load shedding.