If you have buildings insurance cover through your management company, it should automatically cover your legal liability as owner of the buildings for injury to others or damage to the property of others (e.g. a visitor trips within your home on an uneven step and is injured).
Owner-occupied apartment contents insurance primarily covers personal belongings and possessions that are within the apartment, including furniture, electronics, appliances, clothing, and other valuables. It ensures the owner can recover financially if their belongings are stolen or damaged due to insured events.
Contents insurance should automatically cover your legal liability of the contents. Additionally, it should cover your personal legal liability away from the home (e.g. if you cause an accident whilst cycling). It should also cover your legal liability for injury to domestic employees (e.g. if you have a cleaner come in once a week).