Complex sentence: Having previously lived in London, and then moving back to New York City in 2010, where they rented an apartment in Upper West Side, Rubin announced in May 2013 that the family would return to London to work on several projects.
Split into simpler sentences: Having previously lived in London, they moved back to New York City in 2010, where they rented an apartment in Upper West Side. But in May 2013, Rubin announced that the family would return to London to work on several projects.