The birth of Carolina Regina to Gotham editor Cristina Greeven Cuomo last week might prove costly to proud dad Chris Cuomo. Cristina’s first post in the Circa Jewel guest blog, launching tomorrow, talks about her dream “push present” — a pair of diamond and emerald teardrop earrings by designer Nina Runsdorf. Cristina has three kids with ABC veteran Chris, who shares the “20/20” anchor desk with Elizabeth Vargas.