Personal life was the day-to-day experiences and choices that would make up an individual's identity. Aspects of one's personal life included relationships, hobbies, and recreational pursuits, explored on one's own time rather than at work.
In 2364, Deanna Troi said to Jean-Luc Picard, "I don't want to interfere with your personal life, but unresolved strong emotion can affect judgment." (TNG: "We'll Always Have Paris")