The Brooklyn one! Absolutely!
Both sides are great. If you want to have the skyline in the background, the Brooklyn side might work better for you, especially since you can take a stroll through Dumbo to get a pic of the Manhattan Bridge as well - there's an epic photo op right down the road after you get off the bridge (take the left way coming from the bridge to get to Dumbo). If you are closer to the Manhattan side, stay there unless you want to spend the same time finding your way to the Brooklyn side by public transit as it would take you crossing the bridge by foot. Personally, I would recommend you rent a city bike and drive from Manhattan to Brooklyn. Tons of great photo ops and a beautiful ride on a sunny day. Also, you can see the statue of liberty on your way.
Go up Manhattan side because the Brooklyn side has nothing worth seeing. At least from the Manhattan side, there is One Police Plaza, City Hall, the Piers, and it is also convenient for checking out Chinatown and Broadway shopping.
I went from the other end not much special..i guess brooklyn end would give green background from brooklyn side and Manhattan skyline as well..
Go to the dumbo area in Brooklyn!
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