The J/M/Z train goes over the bridge - and its a superb ride ! (real cranks wil know (a) its the old BMT line - Brooklyn Manhattan Transit (b) its the location of the chase scence in the "Naked City" - one of the best post war "real location" films ever made. I havent been since 1999 - but the bus ride up the West side (the M104) is great as it takes you through Harlem to the Cloisters. Interesting ride and a good attraction at the end.Get the famed "A" train back for the quickest ride on the subway (non stop form 125th to 59th down "homeball alley").... The walk back from Brooklyn Heights to Manhattan over the bridge is good - subway to Court St or Clark Street . Nice area - epic views on the way back. Lower East side changing fast - but the tenement house musuem is well worth an hourn or two for a feel as to how people worked and lived in NYC.