my 2 cents as somebody who went straight to law school from college but is now prepping for grad school after a few years of working: id say try the graduate school route now...you can apply to law school any time whereas it'd be harder to build a grad school application later in life when you've been out of school for years.
For law school admission, you don't need to build a writing sample or anything substantial like that. letters of rec matter less to law schools. You just need a good GPA and a good LSAT score to get into a good school.
If you try grad school now and decide that that's not what you want, it wouldn't be too hard to turn around and make your way to law school. the other way around (law school first, grad school later) is much harder in my opinion.