If you're coming to SCL from the US, the "red-eye" isn't so bad since there is (almost) no time change, so you'll have more energy than you expect. Providencia is a nice neighborhood, and is accessible to the downtown tourist sights, though it can have loud and endless traffic if you are on the wrong street, and can be very crowded. Between the Metro and Uber, most sights are easily accessible from just about anywhere in Providencia. I would make sure that your hotel has AC. January can feel much hotter than you would expect, especially with the sun beating into the windows all day. Also, January is vacation season so a fair amount of stuff might be closed or have shorter hours.