Sounds about right. The batteries are the expensive part.
I'd recommend studying your electric meter to see roughly what you use and when to make sure you are sizing the battery correctly (remembering that it won't discharge below about 15% to protect it).
We went for a 5kwh as we are on economy 10. Only had it for two months so it's winter useage.
It is just about sufficient but an extra kw would have ensured it went right through on our heavier use days (I only have 14 hours to cover though and some of these are day time)
However, the cost of the extra battery to save the couple of kWh probably doesn't stack up.
The days are noticeably longer and so the time the battery needs to last is diminishing, meaning I'd only make marginal savings on a couple of months of the year.
You also need to consider the maximum rate your batteries can discharge through the inverter. You may have 10kwh to go at but if you are using 5kwh at once it probably won't support it l.
These are just things to be aware of, not to put you off. I am loving mine!
I'm north Scotland and despite having snow my peak meter hasn't moved in four days.