The oldest house in Bath is definitely worth a visit and I recommend you take the time to queue for a seat in the restaurant and try one of the world famous Sally Lunn's buns.
I chose a welsh rarebit special - so one of the savoury option with mushrooms, bacon, cheese and chutney. Absolutely gorgeous. My husband chose the salt beef with mustard.
The museum is a bit of a damp squib, but it is quite nice to see the ovens in the basement.
All in all a must do activity in Bath.