I’m there this week with the missus too (from New Forest!). I’ll listen out for a familiar accent amid the zomerzet drawl 😉
Depends what your littlun is in to, but its a great cultural place. We’ve dragged ours round the roman baths when they were younger, and also 1 Royal Crescent for a preserved Georgian house which was interesting.
I remember a costume museum too which the girls liked, and plenty of coffee shops to top then up with tasty sugary things.
There’s loads of artisan shops up narrow passages somewhere too (its a while since I was last there but I’m sure a local will point you in the right direction).
Generally though just a great place to wander round and take in the views.