Looks like prefer a more modern design. I'd put a glass table with a great table base, with mcm chairs.

What style of furniture do you have in adjoining living room?

I would want to bring the outdoors in, with a long wooden table. Add color make it casual with these West Elm chairs.

We have a similar nook near a fireplace - but smaller space). Like you we have hardwoods with white cabinets. We bought the Madison table in walnut from Room and Board. We're pairing it with a retro-inspired "Puzzle" chandelier from Jonathan Adler. I can see them playing well in your space too.

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I would do something modern/ contemporary meets rustic. You have that beautiful window that showcases the nature outside. Bring that nature.

A big farm table that way it feels natural like the view. Then maybe some modern/ contemporary chairs. I'd pick a fun color.

These black/ white IKEA sets might interest you!

You have a lovely simple space. The table and chairs should perhaps be a bit sculptural. I think that with all the 90 degree corners in the area that a round table is essential.

Here are some Mix & Match options for tables, chairs and chandeliers

What did you end up going with :)?