The threat of being sidelined hasn’t kept A-Rod from apartment hunting; Frank Sinatra’s penthouse gets a price chop and a new look; Uma Thurman gets the thumbs-up from the River House co-op board (despite her racy new flick).

Yankees third baseman Alex Rodriguez recently cast his famously roving real estate eye on a $3.5 million co-op at 930 Fifth Avenue. The 1,883-square-foot, three-bedroom unit is on the 12th floor and offers Central Park views (NYPost).

Frank Sinatra’s former swank party pad at the Edgewater at 530 East 72nd Street (pictured) is still for sale after a $2.1 million price chop and a new look (the empty apartment is now furnished in the listing). Now asking $5.95 million, the penthouse where Ol’ Blue Eyes tossed champagne glasses off the balcony while hosting the likes of John F. Kennedy, Marilyn Monroe and Sammy Davis Jr. was outfitted with an authentic Apple Store glass staircase and renovated from stem to stern by its most recent owner (CurbedNY).

Uma Thurman has survived the scrutiny of the infamous co-op board (they nixed Diane Keaton and Gloria Vanderbilt) to become a bona-fide resident of the venerable River House at 435 East 52nd Street. Thurman paid $10 million for a four-bedroom sixth-floor co-op that was previously home to novelist Barbara Taylor Bradford and her husband, filmmaker Robert Bradford. Despite its reputation for exclusivity, the building has its share of family-friendly attributes; with enviable East River views, three maid’s rooms, wood-burning fireplaces and a cozy library, Thurman’s latest home seems like a perfect choice for the actress and her three young children (NYO).

Still a magnet for heiresses, dignitaries and entertainment royalty – the building has been home to Diana Ross, John McEnroe and Jerry Seinfeld among others – the Beresford at 7 West 81st Street just became the address of Coke Ann Murchison Wilcox, daughter of the Dallas Cowboys’ founder (and Tony Roma’s restaurant mogul). Ms. Wilcox and her husband purchased a 2-bedroom 18th-floor corner unit with three exposures, park, museum and city skyline views and oversized bedrooms. More heiress action at the Beresford: Goodyear tire heiress (and former Life magazine art editor) Dorothy Seiberling Steinberg recently moved out of the Upper West Side building, selling her two-bedroom unit with park views for $3.8 million (NYO).