Lodging in France for 3 adults

The Gîtes de France site sounds perfect for the three of you.

Congratulations on your upcoming trip! When our family visited the Loire in 2019 we didn't have trouble finding family rooms for 4 in Tours. Quite a few hotels will have a triple or quad room. I prefer a hotel than an apartment rental as someone else is cleaning up. Additionally, try looking for an aparthotel (apartment hotel). They will usually have a kitchen and living area in the room with a complete downstairs reception to check-in etc.
Good Luck!

In addition to Gîtes de France, you might look at:

Chez nous

Fleurs de soleil

Charme & Tradition

Thank you for the answers so far. I knew, but forgot to add Gites to my post.

Hotels/apartments in Tours...thank you. Plus many Airbnb's do not include sheets/towels. Also, why is this a thing? Is it a cleanliness thing or they don't want to deal with laundry?

Gîtes are typically rented for a month to families on vacation from either in France or a neighboring county. They drive and are more or less self-contained with soaps, food basics, and sheets/towels. Visitors staying for shorter periods used to prefer chambres d´hôte or hotels, where sheets/towels are supplied.

The lack of automatically-provided sheets and towels is indeed a quirk of French vacation rentals. My parents used to have a couple of spare sets of sheets specifically for vacation homes with bed sizes different than theirs! I have no explanation to offer...
Now, these days, my experience is that most owners will be able to provide them for a small fee. Worth asking, if you see a rental you like!

Also check booking.com for apartment rentals. We've rented apartments for our upcoming December trip, a couple via booking.com and a couple that I found on booking.com but rented directly from the source, which I prefer when possible. Be sure to pay attention to the cancellation/refund policy! I found AirB&B to generally be more restrictive on cancellations so buyer beware.

The lack of automatically-provided sheets and towels is indeed a quirk of French vacation rentals.

We've mostly rented gites through GDF for the last 30 years or so, and while sheets and towels are not automatic, we've always been able to arrange them. It used to require phone calls or written communications with the owners, but for along time now it was generally arranged through the GDF web site right from the start. As far as AirBnB in France2 goes, I haven't encountered on where sheets and towels weren't routinely included, although i haven't stayed in that many.

Someone wrote recently that some Gîtes de France rentals are cross listed on the Airbnb platform. That would explain why the linens are not automatically included on some.
I have always found Gîtes de France easy to deal with and that linens can be furnished for a few extra Euros.