Hithere
If The OP here has a questionable driving history, I doubt she would include it in her writing
Those observations usually come from others viewing the situation outside in, not the other way around
My father and mother claim they are safe drivers, I beg to differ
This is exactly what was going through my mind!
I would never ever allow my parents, God rest them, to drive my children anywhere! Nowadays I wont allow my DH to drive my grandchildren anywhere (to the great relief of my son)!
OP, I would accept their conditions if you want to babysit on Fridays. Dont allow this situation to drag on and drive a wedge between you. Look on the bright side:- their house, their energy bill, their mess, their food! You can go home to a nice tidy house and collapse in front of the telly!
Good luck I hope it works out x