I've got myself a multi function printer with an adf. Everything that is in my physical inbox is scanned and put on my NAS.
There is a custom program running in a container that will feed any new doc to pdfsandwich (or similar OCR tooling), move the doc into a digital inbox prefixed with the current date. From there I can either leave it as it is (the date is usually good enough to find things) or - if I get to it - give it a proper name and put it into a folder structure (like some of the other responders).
The custom tooling also indexes all docs and provides my family a web interface to search.
There is a custom program running in a container that will feed any new doc to pdfsandwich (or similar OCR tooling), move the doc into a digital inbox prefixed with the current date. From there I can either leave it as it is (the date is usually good enough to find things) or - if I get to it - give it a proper name and put it into a folder structure (like some of the other responders).
The custom tooling also indexes all docs and provides my family a web interface to search.
Simple and effective.