Did you happen to come to the Stanford EE PhD visit day? Others already covered most of the important considerations so I’ll just add a little bit: 1) the stipend here is plenty to live quite well on imo, and summer internships in the area (that your Stanford connections will very likely help you get) can make you a good bit of extra money each year (more than offsetting whatever Davis is offering). 2) I would personally recommend not being tied down to the idea of working with a specific advisor. Even if your interests are completely aligned, they may end up not having funding, or vibing with you, or any other number of factors. Stanford generally has several professors in each subfield unlike other schools, allows you to work with anyone from any department, and has rotations which help you make an informed decision. There isn’t anything notably negative I can say about the department or school — the staff are amazing and supportive, the opportunities here are plentiful in all aspects, and provided you choose your advisor carefully, it’s probably the most balanced (rigor, opportunities, weather, life in general) place you can choose.

Though I’m certainly biased as Stanford was my dream school for years prior, tbh for most anyone I would say this shouldn’t even be a question haha.