Hi Princepilot,
If I was in your position I would not rush to take anyone up until I was fully confident in my abilities and had gained solid flight experience. This would include a thorough understanding of the limitations and behaviour of your chosen ac (beyond that of the PPL training) so would look for some aerobatic type instruction.
Accidents can happen in any activity that involves human participation, normally the end result is based on the speed and quality of the actions/steps that get taken as a problematic situation develops. Many say having the ability to detecting the prevailing situation in the first place is the best way to prevent them, however this requires awareness/experience and a good understanding of what you are doing.
Also it might not be your actions that can cause an accident, so having a parachute is no guarantee and should it happen at low altitude the chute would be near useless.
Thorough planning and having good situational awareness will reduce the risk, but gaining an understanding of what the ac feels like at its limits will help also.