Notice how most places open 24 hours a day 365 days a year — casinos, brothels, precincts, McDonald’s — are the kind that get you in trouble. The one to get you out of it? Hair Party 24 Hours, a new Murray Hill Korean spa and salon where you can make the most of your preening hours — be they in the still of the night or break of day. We tried a 5 a.m. pedicure for an 8 a.m. flight, a 9 a.m. blowout for a 1 p.m. meeting, and a 2 a.m. wax for a 3 a.m. booty call. Even tested an eyebrow shaping. It’s not a total steal (what is?), but service is swift, efficient, and skilled. Wine and champagne get you in the mood for whatever’s next. Like getting into trouble. Hair Party 24 Hours, 76 Madison Avenue, at 28th Street (212-213-0056 or hair24hours.com).