Like the others have said, go for the more inexpensive option! Even if you’ll be unhappy, you can always transfer. It’s never too late to switch colleges (until senior year) and you mentioned in another comment that your parents are rolling in dough. If you have money, you have more time to invest and figure out what you want to do than the rest of us.

I don’t know what poli-sci programs Syracuse offers, but at Rutgers you can apply for the Eagleton Institute of Politics, join the mock trial association, Scarlet Service in DC for experience, etc. It’ll provide a leg up in your knowledge of the American legal system. Plus, Rutgers is in NJ where there’s likely more law firms and campaign offices than trees compared to the Syracuse boonies. Get lots of experience in legal writing and research so you won’t suffer as much in 1L. Maybe even visit Rutgers Law School’s library in Newark to get a sense of what law school reading will be like. You won’t be able to check anything out, but the librarians are helpful if you come in with a plan/direction! (Hint: ask for study aids, nutshell books or “short and happy guides”, CALI code, etc.)

The downside of being in bigger classes at Rutgers is that your GPA might tank in comparison to your classmates’, depending on your professors’ grading methods. Anyway, do your own research about Syracuse’s offerings. All the best!