Whenever I edit a document, a little yellow box appears saying "Inserted: Name date/time". They get in the way of the text and I'd like to stop them appearing. How?

What details do you want?

OS name and LO version. Format under which file is saved? Have you automatically updated fields in your doc? For more info read these guidelines.

This is Track Changes function. Disable it by unchecking EditTrack ChangesRecord.