Brooklyn:Park Slope/Fort Greene/Bkyln Heights?

We are planning on moving from the UWS to Brookyln. We live in a great location, right on Central Park and close to Lincoln Center but pay a big amount of money for a small apartment. We were thinking of moving to Brooklyn but are not sure which neighborhood to choose: Park Slope? Brooklyn Heights?Fort Greene? Park Slope ( family oriented but long commuting?) Fort Greene ( gorgeous brownstones but, is it true that a night the area is not as "quaint" as it is during the day?) Brooklyn Heights? ( gorgeous area but a bit boring perhaps?) We were relocated from Europe to NYC so we would kindly appreciate some local issue on the matter