Recommendations for Chinon and Amboise areas please

For a 10-day stay, you've got quite a lot of destinations listed! We visited a few of these, so here are my impressions.

Azay-le-Rideau was our base (Hotel de Biencourt) and we enjoyed it very much. The chateau was undergoing renovations but it was open for visitors, and it was very nice but not particularly mind-blowing. The town has a variety of restaurants from very high-end gourmet to moderate to very casual. It also has an open-air market on Saturdays where we bought things like cheese, locally made beer, and a bunch of gorgeous fresh radishes.

Chinon was lovely and we wished we'd had time to walk through the old town down by the river. The view from the Fortress ramparts was gorgeous, and we really enjoyed all the intriguing information on the signboards and interactive exhibits in the Fortress. The gift shop was nice too. For some reason, when we were there (midday on the Saturday of a 3-day weekend) the TI office was closed.

Chenonceaux is, of course, famed as the most beautiful of the Loire chateaux, and we did think it deserves that reputation. In addition to the main chateau and the immaculate gardens, we enjoyed lunch in the cafeteria there, as well as the building restored to show how the chateau was used as a hospital during World War I. We didn't visit the donkey park. But what really made Chenonceaux special was taking the boat cruise that begins about a mile up the Cher river and goes under the arches of the chateau's iconic bridge. The cruise takes about an hour and we booked it online a day in advance. The guide gave the commentary in both French and English, alternating languages. The boat company is called La Belandre: https://www.labelandre.com/en/index.php/boat-trip/

Your list is more than enough to keep you busy for the time you have. You could prioritize the list by most important to least important to you, and then group things by proximity/area to each other.
Looks like you've got at least 5 chateaus, maybe more. For 5 days, some travelers would find 5 chateaus to get a bit repetitive after the first three. They take time to drive to and time to tour. Maybe you would to consider that when you start breaking down your list by your preferences and priorities.

We did some wine tasting at Pierre & Bertrand Couly in Chinon. It was a larger place though we tasted with the winemaker so that was awesome.I believe it was all reds. We were able to send a case of wine home. Near Amboise we tasted at a very small, new place (4 years ago) Domaine des Pierrettes. They had both reds and whites. We love the small charming places we've tasted in Vouvray, but of course that is white wines.

I LOVE the garden at Villandry. Chenonceau is amazing for many reasons and I love the history of the place. Further,there is a connection between Chaumont and Chenonceau. When Henry II died, his wife sent the mistress, Diane de Poitier, packing so the poor thing ended up at Chaumont. ;) Clos Luce was da Vinci's so that's distinguishes it from other chateaus. A lot of his inventions/plans are on display in both the chateau and the garden. Chambord is immense and that's about it,as far as I'm concerned.

Langeias was a wonderful chateau, cute little town. Loches is just a gorgeous liitle town. The donjon is awesome. Amboise is nice but was crowded. Surprisingly few crowds in both Langeias and Loches when we were there.
Actually enjoyed our 2 brief visits to Tours as well.

Do not commit yourself to seeing too many chateaux. Frankly, they start all looking the same after a while. Rick gives Chenonceau and Chambord his highest ratings and I agree. If you love gardens, you must see Villandry. After that, it depends on your interests and location. It's easy to see Clos Luce if you're staying an Amboise--but may not be worth it if you're in Chinon. Have a great trip.

We've taken two long vacations right where you're going and have seen everything you've mentioned and more.
Might I suggest something. Plan a maximum of only two destinations per day. As you drive around from place to place you will pass through towns and unlisted castles you'll want to stop in. But if you're too busy getting from one destination to the next, the journey between them will be lost.
That being said, you've chosen some great places to visit! My top are (I'll even call them absolute must visit)
Loches
Abbey de Fontvraud
Chateau de Chaumont sur loire
Azay le Rideau
Have a great time!

A half hour driving south of Chinon lies Richelieu, a 17th century planned town built at the order of famous Cardinal Richelieu. The adjecent park, open to public nowadays housed once the enormous Château Richelieu, alas almost nothing is left of it. I liked my visit last year there, but other places are to prefer to my opinion, so only worth if you are really interested or there is time left.

You have lots of time which is great. Most would agree one big chateau a day is pretty good, two is doable. Villandry was our favorite by far actually, both the interior and the gardens are worth a few hours. Chenonceaux was also a “don’t miss” that we spent some significant time at. I loved Azay, but it’s fairly small and comparatively quick. If you’re staying in Amboise you will see the chateau and Clos Luce at your leisure, they’re both pretty low-key sights.

Chambord was pretty great and impressive, but it also had WAY more visitors there even at the end of the day. It’s huge and can accommodate, but it was kind of shock to see the big, full parking lots. It also felt far from Amboise. We did Chambord and Chenonceaux in the same day, and were exhausted.

I’d really recommend going through the shops and putting together a picnic for your chateau days. They all have picnic grounds on the premises, and it beats whatever snack bar or cafe that is nearby such a hot tourist site. Honestly, these picnics were one of our trip’s highlights!

I do agree on the suggestion to picnic, highlights for us as well.