I'm currently in my second year PhD at Stanford. My advisor took a position at UCLA (and with that, an endowed professorship as well). I am a bit torn as to whether I should leave and follow him to UCLA, which would require me transferring out of my program and my PhD would come from UCLA. The benefit I see from this would be an increase in money to spend on research, and a chance to build a lab from ground zero and really be a driving factor in the direction of the lab. Plus, he's a great advisor. My other option is to remain at Stanford, pick a new advisor and move in a new direction. Benefits to staying at Stanford, well, I love the people I met here and am building a network of people (with the alumni as well) that can potentially help me post-grad.
Wanted to field some thoughts from the community on what I should do. Willing to answer some questions as well if it helps with advice giving.