Manchester is in the north-west of England and has a lot going for it: shaped by its industrial past but firmly focused on the present. It has produced more music than any city its size probably should, has a serious scientific community (graphene was isolated here, at the university), and a rapidly evolving skyline.
The city centre is compact and easy to explore on foot. John Rylands Library is well worth a visit—a striking neo-Gothic building that feels like stepping back in time. There is a strong football culture in the city, with two major clubs and stadiums, and a noticeable matchday atmosphere. If you’re after something more relaxed, the canals around Ancoats and Deansgate offer a pleasant walk, especially on a sunny day.
For food, there is plenty of choice: traditional British pubs all around, and restaurants in the Northern Quarter, Ancoats and Deansgate. Evenings offer live music, theatre, and no shortage of good pubs — all within easy reach.
The Peak District is less than an hour by train from Picadilly train station, and offers proper English countryside — good for a walk or a longer hike.
Regarding the weather: yes, it rains, but it is not quite as relentless as the reputation suggests. What is true is that conditions change fast, so bring a layer and a waterproof just in case.