NEW YORK — Tommy Hilfiger has upped the ante once again with the launch of his great-looking better line, H Hilfiger. The collection has a fresh sophistication expressed in such pieces as pretty embroidered skirts and crisp white trenchcoats. The notion, the designer said, was to create “casual-career” looks that were pulled together, but relaxed. Here, she wears a silk tank and skirt and cotton shirt, and he has a wool suit, cotton shirt and silk tie. For more, see today’s review.