ᐅ Single-family home photovoltaic system with 30 kW capacity

Hello everyone,

Due to the current low prices of photovoltaic modules, I would like to purchase the photovoltaic panels, mounting system, inverter, and battery storage in advance.
Key details:
Single-family house in the district of Altötting, 2 adults, 2 children
Roof orientation: North/South
Roof area: 13.5 m x 6.7 m (44.3 ft x 22 ft)
Photovoltaic module size: 1.69 m x 1.0 m (5.5 ft x 3.3 ft)
=> 3 rows with 12 modules each => 36 modules per side
36 modules on the west side and 36 modules on the east side
Therefore, I plan to buy 72 modules (410 W each) in advance.

This results in approximately 30 kW.

The heating system is planned to be a heat pump with a hot water storage tank.
I estimate the annual consumption to be 4.5 kW because I also want to install 2 or 3 split air conditioning units.

My questions are:
Do you think 30 kW is oversized?
What size battery storage would you recommend?
Which inverter would you suggest?

Thank you in advance.