Straddling the border between two great neighborhoods, the Chelsea Inn’s prices are low because many rooms share a bathroom (never more than two rooms to a toilet, and you’ll have a shower and sink in your room). It has a lived-in ambience, thanks to a decor of mismatched antique bedsteads, old wooden armoires, gracefully swooping curtains, and patchwork quilts on the firm beds—kind of like what you’d find in the home of an elderly aunt. A nice touch: All rooms have small fridges and coffeemakers.