Both of these colleges are competitive…and many view Stanford and Princeton with equal “elite” value.
The reality is…they are both excellent universities.
Princeton has mostly undergrads so that is the focus, while Stanford has masters and professional programs as well as undergrads.
I personally like the Princeton campus better…I think it’s prettier and not as spread out.
But frankly, I think these are both great options. Maybe start looking at things outside of academics…like weather, and ease of travel for school vacations, and activities…etc.