I moved from NYC to Miami a few years ago. My wife and I lived in South Beach for a year and that was fun. In SoBe a mix of “are you living in the US” versus, wow, “what a hottie” is what crossed my mind alot. Seriously, all depending upon your age, mentality and maturity impact where you want to live. The Gables is nice and full of a mix of professionals and Univ of Miami folk, whereas Cocunut Grove has a tad more $. Downtown Miami, the Brickell Key area is very nice, so consider that too as you can easily walk downtown (if that is where you work).
Good luck. We moved to Broward county (more land for your $), but I still work in the Kendall/South Miami area.