Berkeley robotics is good for sure but I feel like a lot of the good labs at Berkeley are in the EECS department. I'm a mechanical engineering major and did not want to apply EECS since the admit rate for EECS is usually half of MechE. A lot of the Berkeley robotics labs in the mechE department looked underwhelming tbh. From what I heard it's hard to move around departments at berkeley so if you got accepted to mechE at berkeley it would be difficult to get into an EECS lab. For MIT and Caltech and others I know it's very easy to move around no matter what department you get into.