Lili-- I forgot to add a few comments to your restaurant selection. I love Rodi Bar and go there very often... but if usually go to places like Smith & Wollensky then make sure you understand what Rodi Bar is.... its a very bare bones eatery with very little detail to presentation and very simple cuisine....
I dont know how best to explain this but at Rodi, the guy cooking is a "cook" more than a "chef".
Also, you should consider adding La Brigada de San Telmo to your eat meating list.... if you can deal with your beef being cooked rare.