I’m a total amateur, but here are two that I thought could work.

You need about 30" for each stool.

The peninsular looks small...measure carefully.

Looks to be counter height, so that’s a a 24-26 inch stool. I’d aim for stools with backs roughly the height of the counter so as not to block the kitchen view, and definitely not heavy looking like the chairs. Probably only two will fit without crowding the area. Fabric or wood or leather depends on expected wear.

WOW, your room looks clean and tidy, I also wonder what kind of stools you will choose.

You may check the following table and chair set

Rectangular Dining Table And Chair Set Disassembly And Assembly With P2 Board Iron Taupe Wood Surface

https://www.yunfurniture.com/product/Rectangular_Dining_Table_and_Chair_Set_Disassembly_and_Assembly_with_P2_Board_Iron_Taupe_Wood_Surface

What a nice home you have! I'd go with dark wood in leather or fabric upholstery. Also, I agree that two is the right number in your space.

Here are some that might work::

GDF Studio Central Vintage Brown Faux Leather Bar Stool, Set of 2, Brown, Pu · More Info

William Contemporary Bonded Leather Barstools, Set of 2 · More Info

GDF Studio Peterborough Counter Stool, Set of 2, Light Gray Fabric · More Info

Villa Faux Leather Brown Counter Stool, Set of 2 · More Info

Camel counterstool,FPF20-0552 · More Info

Valebeck Bar Height Bar Stool · More Info

I love the look of these seagrass ones. The woven color variations tie in with both rooms, the feel ties in (casual and traditional), and the curved tops repeat the curved dining table/chair legs.

Havana Dark

They come in square, too:

I also like these that Diana posted:

Another possibility — lighter colors with the kitchen. These are from Grandinroad …

Or square:

I forgot to post these. Very similar to what I have in my house — darker legs, lighter fabric top, saddle style. They’re comfortable and have held up well. My area is small, and these fit well under the counter:

https://www.houzz.com/products/stylish-fabric-top-stool-24-inch-prvw-vr~60801977

Lighter wood would work fine, too:

https://www.houzz.com/products/linen-backless-bar-stool-prvw-vr~126474449

They come in lots of other color variations, or leather if you don’t want fabric.

I think she wants stools with backs but the ones you posted are nice. I also like the sea grass ones

IMO the table works with thekitchen and before choosing one more thing get all the bulbs changed to LEDs 4000K right now all I see is yellow The sea grass is horrible to sit on if you have bare legs BTW. I like colored stools to add a bit of jazz to a space and what is your style since that table and chairs are pretty trditioanl and IMO too matchy but a hint as to the rest of the house could be helpful. I think getting a rug with some color then using a color from the rug for the drapes and the stools would be agood idea to tie the 2 spaces together so I would pick a rug and do that.