Best possible school I could get into? [Transfer Student]

<p>So I've spent the last year at the City College of New York, completing my second freshman semester with a 3.96 GPA. I'm very highly regarded by my professors, and for the most part, I enjoy my time here at CCNY....but I don't feel complete or satisfied here. I'd like to try to set my sights higher...but how high? </p>

<p>Ultimately I'm afraid that my performance in high school will hinder my current transfer chances. My SATs were mediocre at best, with a 730 in english, Low 600s in Writing (I forget) and an embarrassing 500 for math. To compound this, I had a respectable 87 GPA, but I had done only a few extracurriculars. I also had decent AP scores (5 for AP World, American and European History, 4 for English 3 and 4, and 3 for Government) but in the end I had no choice but to attend a college that I had reserved as a last resort.</p>

<p>Keep in mind that I'm a Political Science major intending to apply to law school in a few years.</p>

<p>Columbia or Cornell?</p>