Another thing to consider (and no need to answer publicly of course) - do you have debt from law school? If so, you'll be paying that in dollars on a peso salary - that would probably be a deal-breaker for me personally.
If money is the most important consideration, there are other economies that would be better bets financially as the poster above mentioned.
However, if you decide to come here:
For USD 500, with a guarantia, you can get a fine apt. Furnishing it won't be cheap but again, since you'll be working and have DNI et al, you should be able to get a local credit card & pay that cost off in quotas. I just looked at the classified and for unfurnished apts in Cap Fed w/guarnatia under 500 USD, there are more than 2100 apts listed. I'm sure you can find something
As for the rest - really, it's up to you. The nice thing is that as a lawyer, you're pretty much salary-banded so it's not as though spending a few years overseas will impact your salary if/when you go back.
I will say that I left NYC a few years ago and was earning a very good living but didn't have a great quality of life. I wound up taking a job with an int'l company that allows me to live here. And yes, certainly I earn less than I could have if I had stayed in NY but my quality of life is much higher due to a better work/life balance.
Good luck!