Codes allow you to put user, date or data information into the directory name or PDF file name. For example, using %dat inserts today's date, %usr inserts the Adagio user ID, and %bat inserts the batch range. For your specific questions:
1) If you had a general report path of \Reports\Ledger\General\%usr then the saved location for the PDF 'general' reports would be a user-specific folder the same as your login ID.
2) To insert the batch number in the created PDF for a batch listing report, open the batch listing report, click the ePrint Options button at the right, and put %bat at the end of the file name (such as InvoiceBatch%bat.PDF). We are updating versions to automatically put %bat in the PDF file name by default - I don't believe this has happened yet for AP.

The videos show examples of how these are set up. I mention the links because others reading this thread would be interested in the available resources, and to give you a full overview of how ePrint works.

We are currently working on Time&Billing to include this and other features such as Report Sets and Favorite reports. An upgrade for each module needs to be released in order to be compatible with Adagio ePrint, as older versions would not know how to look for ePrint. We have already released ePrint-compatible versions for GL, AR, AP, BR, OE, IC, IN, FX and SR, so we are going as quickly as we can.

We can't give you an ETA for the Time&Billing release as this depends on adding other new features and doing fixes, and what other development is happening at the same time.