I would highly recommend visiting the Fashion Museum. For me it was the high light of my time in Bath. The exhibition changes regularly . It is well laid out with beautiful examples of item like gloves. Lots of shoes. A good over view of mostly British clothes from c19 to the present day finishing with a dress worn by a Kardashian.There is a really good book selection mixed in with nice in expensive scarves and jewellery.From there we walked about the Assembly Rooms which were lovely. Lot is unexpected fine detailed decoration, fine stone carving,mirrors and chandeliers. There was a tea room at the end of the Assembly Rooms but we did not try it.