Those are four very different places both in food style and ambience.
Quince is a small and elegant neighborhood-like restaurant with fresh ingredients and artful presentation.
Zuni is a larger flashy American bistro focused more on ingredients than technique.
La Folie is an upscale classic French restaurant with luxury ingredients and top-notch service.
Ame is a sleek, modern space in muted black and grey with good service and an interesting Japanese/French menu.
It depends on what you want ambience/service -wise, and whether your definition of "good food-type dinner" is ingredient or technique driven, and if you are looking for comfort food or something a bit more exotic.
Personally, given your list, I'd pick Ame, as the best combination of adventure and sophistication.
Does your daughter live in the Bay Area? Has she lived in other parts of the country? Her expectations and experience may influence the choice.