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There's no inherent advantage in search that comes from using any of the new top-level domains (TLDs). They're also not geotargeted by default (for example, both .nyc & .berlin are seen as gTLDs that you can adjust the geotargeting for in Webmaster Tools).
If you want to register an entirely new TLD for other reasons, that's your choice, but you shouldn't register a TLD in the mistaken belief that you'll get some sort of boost in search engine rankings.
My recommandation is to pick one domain that you really like (be it a on an "old-school" or new TLD) and to try to stick with it for the long run.