Menlo and Burlingame are the two most expensive areas in your search criteria.
You will get more for your money in any City between the two you mention.
Each one is different, so you should look at what they have to offer and decide which one you think best fits your life style. School district does matter because it drives value and thus appreciation.
From an investment perspective I would say that you should get similar appreciation if you stick with the right neighborhoods.
All the best,