Carrie's apartment is different in this pilot than in the rest of the series.
During the series, Samantha, Charlotte, and Carrie all confess that if pushed to a gay experience, they would choose one another over Miranda, making Miranda feel excluded. Cynthia Nixon, who played Miranda, would later come out as bisexual.
During the entire series, holidays - Christmas (Charlotte put up a tree in July), Thanksgiving, Valentine's Day, Halloween, Fourth of July, etc. - are never celebrated, with the exception of Sabbath in season 6, episode 4. Birthdays are also rarely celebrated.