I'm an exiled Manc living in Whitby, so I booked my youngest and myself on a couple of guided walks starting in Picadilly and was absolutely amazed by the history contained in the City centre which really needs to be pointed out by someone in the know.
It made me so proud to be a part of this great city, which has evolved over centuries. You may need to research guided walks but if it can include the Town Hall thats good but there is lots of good stuff otherwise.
I always remind my kids they are half Manc and not all shite!