Paint everything in that picture white and you can pick any color floor you want.

The carpet looks to be in decent shape. If you aren't significantly changing the style or color in the rest of the space I wonder why you are replacing it.

Can you share a pic of the kitchen? Is it white tile?

Do you want a more traditional look? A more rustic look?

Have you checked samples from Armstrong? I like this one, but it might not be your taste.

I really like the cherry wood that you have, especially in your kitchen - so much nicer than white.

Are you planning to keep the yellow? Nothing wrong with it, it looks like a happy color :), just wanted to say that if you are planning to paint then you should probably pick those colors first and paint before putting down new flooring.

Are you looking for more of the plank look or a tile look? There are so many options available in vinyl flooring.

(Congrats on your new home btw)