【Locality】 , 【district】 ,  【vicinity】 ,  【neighborhood】  denote a more or less definitely circumscribed place or region, especially from the point of view of those who live in it.

【Locality】 applies to a region of undefined boundaries, but it usually suggests an area round a center (as the place where the speaker or writer lives) or round a place remarkable for some event or landmark.

【District】 usually applies to a 【locality】 that has clearly defined boundaries determined (as by the nation, state, or town) for such purposes as for administrative and electoral use. In a less specific but in this instance more pertinent sense  【district】 is often applied to a 【locality】 with reference to some of its most obvious or clearly defined characteristics rather than to the exact area it covers.

【Vicinity】 never loses its basic implication of nearness but, since it suggests a distinct point of view, it applies only to the 【locality】 that is very near from that point of view.

【Neighborhood】  usually carries an implied reference to one’s neighbors and it may be preferred to  【vicinity】 , which it closely resembles in denotation, when the emphasis is on the inhabitants rather than on the 【locality】 referred to. However, it is frequently interchangeable with  【vicinity】  when the emphasis is on proximity; thus, a man might live in the  【neighborhood】  or the  【vicinity】 of a school.