Why convert to a bigger format
PNG adds no further loss, so it is the format to move to before editing an image that will be saved repeatedly.
Every time a JPEG is opened, changed and saved as JPEG again, it is compressed afresh and loses a little more. Do that four or five times through a round of edits and the damage becomes visible, particularly around edges and in smooth gradients. Converting to PNG first stops that accumulation dead: from this point on, saves are exact. This is the main reason the conversion is worth the extra file size.