This played in Chicago the week of March 8, 1985 under the title SHACKIN' UP. Couldn't find this film under that title at all in the IMDB, but after cross-checking some of the stars (Corinne Alphen, George Ayer) it all added up.

Movie ad taglines: "The cruel world of New York one nite (sic) stands..."
"It doesn't always mean movin' in... sometimes it means movin' on"