How is the parking space in Cluj-Napoca?

My family is planning a trip to Cluj-Napoca, and we're not sure whether it's worth having a car when inside the city. Our considerations are:

  1. Are there enough available parking spots? Can you find a parking space within a reasonable amount of time?
  2. How reliable is the public transportation? Is it good enough to allow someone without any knowledge of the area to get somewhere quickly?