Subway Downtown Brooklyn has excellent coverage with the A/C, B/D/F, N/Q/R, 2/3, 4/5 and G. Brooklyn Heights is reachable on the A/C, 2/3, 4/5 and R, while Dumbo's lone subway stop is on the F line.
Bus A dozen bus lines run to/from downtown to virtually every Brooklyn neighborhood that a visitor might be interested in. The B62 connects Dumbo to Williamsburg and Greenpoint; the B67 and B69 run from there down through the middle of Park Slope. The B25 runs through Bed-Stuy to the base of the Brooklyn Bridge.
Ferry You can get to Wall St and midtown Manhattan (and, in summer, Governors Island) on the NYC Ferry, which has stops in Brooklyn Heights/Dumbo and at Atlantic Ave.