There is a huge amount of uncertainty here. There is no perfect strategy - I think you have to just rank schools as best you can by your own preferences and then go to the top one you get into by some semi-arbitrary date.
That said once at college there are a variety of things that make a huge difference. Read important textbooks more than is strictly required. Experiment with learning strategies - study in groups or alone, taking notes, making flashcards. Read journals every once in a while to check your progress. Go to department seminars once you you feel comfortable. Play with math (or computers, or chemical syntheses) for fun. Go to at least one free dance lesson. That sort of thing.
Upvoted! For the entirety, but not least for the "free dance lesson" suggestion.
I, and a lot of other people my age, are currently facing a pretty big life decision -- where to go to college. Since this is probably going to have a pretty big impact on my life, I'd like to get some more information on this.
Seeing as a lot of people here have probably made this choice already, gone through with some of the consequences of it, and are rational, I decided to ask here.
My current considerations are: