The beautiful social butterfly of the zodiac is Libra. Symbolized by the scales of justice, this sign makes for a parent that is focused on fairness. In the Libran household, some kind of reward system or set of rules for cause and effect are likely to be implemented. For example, Libra mom might assign chores based on a points system based on good/bad behavior, or Libra dad might insist that one child waits for a certain age before he's allowed special privileges that another child had to wait for.
Pros: Socializing is a comfort zone for Libra, so sleepovers and parties are likely to be allowed often. Libra parents are likely to treat their children fairly. As a lover of good aesthetics, Libra's home is probably a place of great beauty and comfort with lots of feel-good music, serene views, and inviting smells.
Cons: On the note of socialization, Libra parents may neglect the needs of their children at times in favor of their own social endeavors. Libra's extreme appreciation for beauty often leads to an intolerance for loud noises, nasty smells, and any other kind of ugliness. Libra's high-highs and low-lows may confuse a child who's naturally stable and unchanging.
