It looks like personal staves are asking for both traits which is not what the rules state.
Choose a magical school for your staff from among the schools the spells on it have. Pick the one that best reflects the spells, usually the one most shared among them. You can optionally give your staff a trait for one magic tradition, instead of the
magical trait, if the staff is fully steeped in that tradition and contains spells only from that tradition's spell list.