Maximizing opportunities to be admitted in top schools
Your approach is wrong and will be a hindrance in maximizing your chances for acceptance. No school wants to accept someone who only wants to go to their school because of its ranking. You need to tailor your application to demonstrate why you want to go to the particular school. Once you have identified some schools/supervisors, ideally one of your recommendation writers can introduce you. You then need to build on that relationship. Talk to them about how your work fits in with their past and current work. As your relationship with the potential supervisors builds, figure out how they fit into the department. They will likely have the inside knowledge needed for writing a really good application.