Catch the Subway to high street and then walk back over Brooklyn Bridge. On a beautiful morning, with the sun behind you, you have arguably the best view of the Manhattan skyline where you can see distant views of the Statue of Liberty and clear views of the Chrysler building, the Empire State etc.
Really worth the effort and apart from the subway fare, free!!
The structure itself is a marvel and the 'boardwalk' is elevated above the traffic so is surprisingly serene.