If you are not sold on paperless, you can still print e-statements at home, reconcile by hand, and file paper just as you do now.
The alternative is to view and store statements electronically. Most statements can be saved as PDFs. Simply create a folder called “Statements” or “Records”. Add subfolders, using the names you currently use for your paper system. You might prefer to group statements by provider or by month. If you put both the name of the provider and the date in the file name, you’ll be able to search easily for past statements.