Evernote.

I use Swiftscan Pro on iOS to take pics of receipts or single page documents. It OCRs and pushes them into Evernote.

I use PDFPen Pro on Mac to OCR longer documents scanned in using the office scannner/printer. This is triggered when I drop a file into a monitored folder. My applescript fires PDFPen, performs OCR and then imports into Evernote.

I have another monitored folder to import PDFs that don't require OCR (just import into Evernote)

And lastly if I get an email with a PDF attachment, I forward it to my special Evernote email address where it's automatically imported.

The main reason I haven't moved away from Evernote is because I want access to my files on all my devices and at any possible moment, and I want the service I use to outlive me. Evernote so far hasn't failed on either of these promises (though the latter does possibly worry me)