over 2kWh, you need to go on 48V or more because the wiring become very expensive due to excessive thickness required.
so you will need to build an array that use probably a mix between serial and parallel to benefit both what serial and parallel offers.
(parallel offers anti-shading while serial offers higher voltage, easier conversion, cheaper wiring).
all the details will depend from the where and how you will mount panels, the type of SCC and inverter you will choose etc...).
batteries come last, since there is no real constraint about it, the choices are almost unlimited.
for you, the easy way would be to create a scalable sytem with all-in-one MPPT boxes (you can start with a 5KWh 48V box and add a 2nd if needed). Just make sure you choose a non-grid-tie model.
7Kwh of battery is easy and cheap to find. You will be able to expand later and you can fine-tune battery charge complementing with grid if necessary, until you can totally unplug.
you got 3A per panel, so putting 3 panels in series gives you about 72V 3A and putting 12 group of 3 in parallel gives you 12x3 a =36A.
so you will get an array at 72V 36A= 2500Wh
you could even go 4 in series at 96V i think an MPP box can support up to 150V) and 9 in parallel that is 27A for even cheaper wiring.
you can charge a 7000Wh battery in 3 hours and use the remaining energy to run hungry devices (washing machine, pump to lift water on the roof)
during the day. Not sure you can afford AC running all day and night, you should consider upgrading your panels to bigger ones and you target should be 12KWh at least. New AC type with inverter is recommended in that case
That looks like a lot, but consider that most ratings are maximum ratings, so you hardly get that all the time. A clouded/rainy day can drag you way down under 50%.
You would also install solar tube/panel to produce hot water, so you can store 100-200 liter in an isolated tank that you can then use later, even if you need to heat up again with electricity, the energy spared is huge. (washing machine, dish washer all heat their own water)