The train network is decent between big cities, but once you want to explore the smaller villages and vineyards, having your own wheels makes a massive difference, just avoid picking up right at the airport if you can because those desks slap on extra charges like crazy. A much smoother way to rent a car in France is booking through a platform that connects you directly with local owners, and you can browse the available listings right here
https://getrentacar.com/en-US/france .