Seems to me that IF this system is primarily a grid tie system the peak daily use does not matter. In grid tie mode, with grid active, the house draws power from the PV array to meet needs. If you hit a peak that is higher than the PV array can supply the system seemlessly draws from the grid to make up the balance. The more important figure is the average monthly use. If the average month uses 500 kWh you can calculate the array size needed to cover 100% use, or any fraction of that. A tool like the one available
HERE can be used. They also have a manual use chart down the page.
There are sample
grid tie kits listed too. The problem with pricing the kits is they may not include everything. Some folks will need additional components because the roof does not point in an acceptable direction, or they may need to pole mount some PV modules. Most likely there will be additional hardware. Those grid tie kits also do not include an inverter that can be used grid tied with battery backup. That will be extra as will batteries. There is also no labor costs included and that can be thousands of dollars. If you are capable try to find an installer you can work with. Some will permit home owner labor and some will not.
As for how many batteries are needed, that requires some more calculating. That company also has an
off grid calculator, that could be helpful with that. But ytou can also total up the watt hours required for an average 24 hour period manually. Only you will know what you needs are.
Is this to be sized to emergency use if and when nobody is present. That's why I separated circuits and have the generator as backup to the batteries. We are absent days or a week at a time. So the batteries need to be sized to cover a few days of cloudy, poor sun and grid absence. In the past 10 years our longest grid outage was only 24 hours, but our place in the mountains has had no power for up to 4 days at a time according to grid tied friends.
As I said previously I have not familiarized myself with the present selection of grid tie with battery backup inverters, BUT they should work something like this. But they may not. When the sun shines and the grid is powered the batteries and home needs should be supplied first. Excess goes to the grid. When batteries are full, the house needs are first priority and excess goes to the grid. If the sun goes away then batteries or house needs are supplied from the grid. The battery charging from the grid should be programmable so if grid power costs less at certain times the batteries only get charged then. Equipment features mat vary so all that needs to be verified.
Batteries; we have enough to last for three days of no grid, no sun. The battery bank needs to be sized to your needs and conditions.
Hope that helps some.