You’ve got the Cité du Vin sorted, so no need to add that. I would suggest a trip to St. Emilion is a must at some point, though whether you can fit it in your schedule is another matter. As a world heritage site, the town is probably the most interesting to visit as a place, even ignoring its wine connections. There are regular trains from Bordeaux, and the train obligingly passes through two or three outer production areas that may not be worth visiting, but are interesting to see whizz by the window!
In terms of places to eat, the main eating out area in Bordeaux is just in from, and on the upstream side of the Place de la Bourse. Quite buzzy, and you can probably risk not pre-booking before taking a look at what suits you - but then book!
Speaking of the Place de la Bourse, there is a walk-round display in one of the offices next to the tourist office which is worth an hour or so, as it explains the history of Bordeaux and its role as the centre of wine exporting.
Bordeaux has a water bus that is part of the city transit system - if you buy a carnet to get about, you can use one of the units on the water bus - it’s worth it for a different view.
By the way, they are building a new tram line through the city of Bordeaux. It may be finished now, but if not, it has caused a fair bit of diversion work. If you need to catch public transport, it’s useful to know that not all the bus lines follow the exact routes given on the handouts, though the changes were pretty well signed locally. And if driving, not all streets are open.
(PS - I haven’t checked the thread recommended by @Leah yet, so apologies if there is any overlap).