The Barclays has everything it shouldn't be hard to stay in that area
There is a Marriot very close by
Even Hotel is about a 10 minute walk. It's nice.
There is an Aloft bearby and the Nu hotel in Brooklyn heights is also really nice
The Brooklyn Marriott is close by. It's about a 15-20 minute walk but public transportation (buses & the subway) is right there as well. There might be another hotel there as well, but I'm not 100% sure.
Right down town Brooklyn you have Hilton on Smith street and Alantic newly built there two on Livingston and Nevin's street. 3rd Ave and Butler. Google Brooklyn hotels near Barclays, enjoy your stay.
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