We spent a week in Bordeaux this past fall. The hotel chosen for our Road Scholar tour was the Best Western Premier Bayonne Etche Ona and so we booked it for our independent nights as well.
It was a lovely little hotel with strong water pressure, nice rooms, good breakfast, friendly staff and great location. I would stay there again.
I loved Bordeaux…great, lively, walkable city.
We went to the Bassins des Lumieres while there. It’s a light art exhibit built into a massive World War II submarine base. Spectacularly cool. https://www.bassins-lumieres.com/
As to Amboise and the Loire Valley - we used Acco-Dispo for our chateaux touring day and had the van to ourselves. It was a fine way to see the chateaux.