Bordeaux and it's environs are so beautiful! I suggest starting with Lost in Bordeaux https://www.lostinbordeaux.com/category/discover-bordeaux/bordeaux-wine-region/
She always has the latest and greatest info on the whole area (even locals use her info as it's that good and timely) and the linked section above is all of her info on the complete Bordeaux Wine area, covering all wine regions (of which there are many in what people typically refer to as Bordeaux wine.) I should note, her site also covers everything having to do with Bordeaux and is intuitively categorized for any activity, date, occassion, etc. you may want.
A company I've used a bit is called Rustic Vines Tours (https://rusticvinestours.com/). I loved them and recommend to those who'd prefer a guided, small group tour. Additionally, it is very easy to schedule your own tours should you chose. You will need to make reservations. Most of the time, I send an email to schedule though some of the more popular (or more 'funded') wineries will have the option to schedule your appointment online. The tourist offices will also have a list of any wineries that are open for drop ins (portes ouvertes.)
In the town of St. Émilion, you can tour around, taste at the wine shops, eat some delicious food and visit wineries. One with an interesting history as well as delicious wine is Château Guadet https://www.chateauguadet.fr/en It's at the top of town, behind a blue door. You will need a reservation.
And...if you are looking for a food tour in Bordeaux, Take Walks now offers: https://www.takewalks.com/bordeaux-tours/
I have not taken this specific tour (I'm going to see if there's an opening in a couple of weeks) but I've used this organization all over Europe with great success.
I hope you enjoy your visit to this really charming part of the world!