Ok...we've had our solar+battery system for about a month now. Still in something of a learning curve but so far am really pleased with it.
We have a neat app that shows our instantaneous status (how much energy we're generating, how much we're consuming, how much is going to the battery (and how full the battery is), and how much we're giving back to the grid). The app also gives an overview of any selected day, week or month so I can look at longer term statistics.
On average, we produce more energy than we consume but there are peaks and troughs which, depending on timing, can have a big impact on our energy independence. For example, turning on the dishwasher or washer/dryer overnight rapidly depletes the battery with no incoming solar energy. This has driven us to consider when we do certain activities so we can make best use of the solar energy we generate (e.g. running the dishwasher and washer/dryer during the afternoon).
It's also surprising how big an impact even modest changes can make. Increasing the temperature within the house by even a few degrees results in much lower energy consumption.
One lesson we learned very quickly was to use the energy we generate rather than striving to sell it back to the grid. The electricity company purchases our excess energy at a rate that's about 50% of our billing rate so it makes much more financial sense to use the energy we generate for our needs rather than striving to sell more back to the grid.
I don't want any of the above to sound like I'm starting to obsess over our energy usage. I'm certainly not. However, having the data available is helping us be much more efficient, and making maximum use of the free electricity we get from our solar system.