South AmericaChevron PeruChevron LimaChevron The best hotels in Lima, Peru, have a few things in common: They're within walking distance of the city's world-famous dining scene. In some cases, they have rooftops—or better yet, rooftop pools—offering a birds' eye view of the Costa Verde coastline. Ideally, they help you get a glimpse into the varied personality of the coastal capital. Because Lima, a city with nearly 500 years of history, is where high-rise and glitzy towers sit beside decadent colonial buildings, and midcentury tudors and Victorians are within eyeshot of neon street art. Most travelers opt to stay in the well-heeled neighborhoods of Miraflores, Barranco, and San Isidro, all of which are home to the aforementioned great restaurants and cool bars, streets full of boutique shopping, and on most days, a gentle breeze off the Pacific.…