Moskvina has coached at the Yubileyny Sports Palace in Saint Petersburg, Russia, for almost her entire career. She was one of the first Soviet coaches to collaborate with the skating world outside the Soviet Union and its satellites. She contributed a report on the 1970 European Championships to "Skating Magazine", an American publication, which at that time required clearance through the central news agency in the Soviet Union. She co-authored the International Skating Union's judging handbook for pair skating in 1984. During the 1990s, Yubileyny suffered from poor-quality ice and other problems, resulting in limited training time even for top skaters.