I would look at cork, depending on your dog's tendency to claw. If you cook a lot, cork is much, much more forgiving on your back and joints. People who recommend tile are probably not spending tons of time standing in the kitchen. It's really hard to match wood, some wouldn't even try. Cork comes in complementary colors and is used in many traditional European kitchens. Plus, it's a green material and not that expensive.

vinyl is not fashionable, but it is immensely practical, especially if you cook a lot.
Whether it looks good is up to you, done right it can look great.

Wood. Tile floors are tough on your back, slippery when wet and unforgiving if you drop something.

Wood.

Op, thanks for the feedback so far! Our home is traditional, but with an open, airy feel and rooms that flow into each other. We cook a fair amount and have one medium size dog. The children are teens.

Vinyl sheet if it isn ot a fancy house.. No grout, no cracks and so easy to clean.

There is a porcelain tile out now that looks like hardwood. I love that it has the bullet proof qualities of tile (can get wet, doesn't dent or scratch) but it looks like wood.

I doubt that you could match existing hardwood floors. But it's a cool option and one that could work if you would be o.k. with doing a visibly different floor in the kitchen.

I think it would look neat in bathrooms and on porches, too.

We had vinyl black and white square tiles, which i liked.

I'd do ceramic or stone (I have ceramic that looks like slate). Kitchens are dirty, and you want to be able to mop easily!

Wood.

What is the style/era of the house and kitchen?

Do you cook a lot?

Do you have pets?

Wood. We recently expanded our kitchen and added new oak floors the builder did a great job matching it to the existing floor.

If I went the hardwood/hardwood look route I would want a pretty darned good match. So I would most likely choose real hardwood for the kitchen and refinish the entire floor to match. This would definitely be more work. But I think it would be worth it for the continuity.

Wood

We have almost completed a minor kitchen remodeling project and just need to replace the floors.
We are having trouble deciding what to do!
Our kitchen is small, but has an open wall into the dining room and a regular doorway into a hall.
The DR is hardwood floors.
The options we are considering:
A vinyl product like Duraceramic
Vinyl planks to try and match the DR hardwood as closely as possible
Or
Hardwood stained to try and match the DR floor as closely as possible.

Our house is small, so anything that would visually enlarge the space is preferred.
I love the look of wood, but realize it will be hard to get an exact match with the existing floors (30 year old oak)
I also want something easy to clean and maintain.
Thanks in advance!