My batteries are not big enough to ensure I only use off-peak, yesterday I ran out

at 10 past 7 pm, and one has to consider size required, unlike the solar panels, there is a limited life, I started too small, at 3.2 kWh which would allow charge at 2 kW and discharge at 3 kW so with 6 kW of panels and a 5 kW inverter I was seeing export to grid but battery not fully charged, and also very easy to go over 3 kW so using grid rather than battery, I doubled up to 6.4 kWh, but at that time not being paid for export, and was seeing the battery being charged with off-peak, so not enough room for solar latter in the day, once I got export sorted, then the tariff selected was important, I pay less for off-peak to what I am paid for export, so I can fully charge battery with off-peak, and it does not matter if latter I am exporting, I am on an EV tariff.
But the solar panel tariffs, often you do not get more for export to what you pay for off-peak, and one would need to be your own power station control room to decide each day when and how much to import and export. This is not what I want to do.
It seems however, some inverters will allow you to pass over control to the supplier, the so called smart option, my inverter does not have this option, as to how important this is, will depend on what else you have, like heat pumps, and EV charging, and if the EV charging is the V2G EV type.
I have looked into the idea of non grid tied battery packs as well, and so many options it is mind boggling.
Use is another thing, washing machine, tumble drier, and dishwasher all have a delayed start function, I wanted the battery to be able to provide 5 kW so 3 kW machines would not draw from grid, then I set the three big machines to run at off-peak times, so it really does not matter.
I had a EPS system (like an UPS but not such a fast change over) set up to maintain my freezers and fridge, but a non grid tied battery pack would do the same and much cheaper. Also if I added a battery pack now, it could reduce the load on main batteries, likely tipping the balance so they do last all day, and I could in summer take it out with me.
So a lot to think about, as to if the plug-in solar will in fullness of time include batteries no one knows.
So step one is look at your house design, with my house, it would be easy to put a battery pack outside the kitchen window to supply kitchen with non grid tied power. My son is looking at the Tesla power wall, but the rules have been made tighter as to where they can go, the inverter with them is built in, but with mine, the inverter and battery are independent so I can have inverter in doors keeping house warm, and batteries outside.
Although I am an electrical engineer, I did not fit my own solar and batteries, I got a specialise to do that, and I am glad I did, as they gave some very good advice which I would not have considered myself.