Is there anything else you can share about the process working with the NYT, or other papers? Has the process changed in recent years at all?
Otherwise, I don't think process has changed, it's mainly about personal contacts, being accessible, and taking the time to talk to people and explain the tech in a way the target audience understands. My rule is if a journalist doesn't understand my research it's because I'm not explaining it the right way. I get annoyed when academics complain journalists get their work wrong without making an effort to actually talk to any.