Paint is the last choice you need to make. There are so many whites until you choose the cabinets you can't choose countertops. Natural wood floors are timeless.

IMO a really dark stin for all the floors woudl make it more modern I live really dark floors we had them in our last house and they were awesome . They also tend to allow for a lot of different colors to work

Just to add, I have picked out the cabinets- they are Kraftmaid dove white . I'm trying to decide which color to stain the red oak floors so that they are not so warm/orange, look more modern and would go with a grey white cooler look since fixtures/hardware will be silver. I don't want the flooring too dark, I would prefer to keep the flooring close to the natural color but not so orange if that makes sense. Just wondering if anyone has experience with this. Thanks again!

Because it's "red" oak there will always be a hint of that tone. Even if you go with a grey it can look a little pinkish. I agree with Patricia that dark does lean more modern but it also shows a lot more (dust, pet hair, etc.)

This Blog might be helpful. There's a lot of ideas and insights the can help you chose whether to stain it with light or darker stain.

https://chrissymarieblog.com/red-oak-flooring

I love Patricia's floors in that pic, but they seem more "medium brown" to me than "dark." I would avoid the really dark floors. As Cynthia said, they show every bit of dust. And they will limit your color scheme choices more. A medium-dark color like Patricia's will play nice with almost everything.

That's why you'll see French and European Oak flooring options on many flooring sites. The oak species from those areas don't have the open grain. They can be finished in pale brown tones without a yellow or orange caste. Even HD and Lowes have that variety of oak. link. There are also waterproof hardwood versions constructed like lvp with a veneer wear layer. Flooret has Sylvan Link.

Red oak floors are timeless, and I think they look perfectly fine with modern surroundings if you decorate it right. Update your other stuff and then see how you feel about the floor. Modern cool tone floors look beautiful, but are a trend that will look dated in a few years.

If your lighting is warm, try cooler toned bulbs and see if that helps tone down the floor a little. Do that before you choose paint colors.

sand it down to raw wood and do a Bona natural stain/finish on it

this one is Bona Nordic seal.

or you can go the Dark Walnut route

Duraseal Jacobean

Duraseal Aged Barrel-Bona Traffic HD extra matte. (don't forget to upgrade your baseboards)

The light, natural red oak will change your house dramatically. It will definitely give off a modern vibe. Follow Beth’s advice about the finish.

Cynthia is right. There will always be a hint of the red tone. But when I look at my red oak floors, I don't see red. I see medium brown -- because that's the color I stained it. When I got my floors sanded (the previous stain was literally red -- what were they thinking?), the floor guy applied some test swatches on a section of my floor and I had to pick.

And I think red oak floors (either natural or stained) will look wonderful with your white cabinets. It will warm up the kitchen.

I have red oak floors everywhere which were very red/orange and I hated them. We had them sanded and stained a mix of dark walnut and jacobean. They came out perfect. I no longer see any red, just a pleasant warm brown.