What should I be doing to increase my chances to get into a top university? - International Student

I am an international student who Needs aid. Unless my waitlists churn out miracles, I plan to go to Stony Brook University as a computer science and applied math student, next year. However, I would like to transfer to a better university (NYU, Cornell, etc.). Although I can only do so much in less than a year, what steps should I be taking to improve my chances to get in to such a university?

Side question: Do universities have applications of transfer students from when they first applied?

Thank You!