Try a mid-century modern rug like Hemphill's Rex Ray Area Rug Collection or Jaipur Traverse Caracas. I looked up 'mid-century modern rug' and chanced upon these on Houzz. I like the muted colours which would soften the cream on brown. The mid-century motifs would highlight the mid-century chair. Good luck!

if you are to install a whole new kitchen youl should go all in on what you like. I think combinding a modern kitchen with more old, classic rustick asscesorise/Udecor, would look great. I think a soft brown modern kitchen would look great with the floors you have. a black kitchen would also look great, no matter what i would chose a light counter top. Iwould not place the frige on the right next to the chimny/stove. I. would install cabinets and shelves. I would add a backsplash inside the chimney.

Hmm. Folks I don't understand what is going on with these recent comments. The fridge dilemma was settled ages ago and I advised that I had settled on a stainless-steel fridge that worked well in my white kitchen. Just as an update, I had some problems with said fridge, calling for service several times and the fridge having to go back to the factory. Very unsatisfactory and inconvenient. They provided a loan fridge but as everyone knows, emptying and stocking fridges is not the most enjoyable pass time. After some discussions with F & P they were persuaded to replace the dud fridge with another similar fridge, although with the concealed handles. (Not my preference). I had to pay a small amount, but it came with a new fridge warranty. So dear people, I will close this conversation and give thanks to everyone for the input. Kind regards sydneymidge

This is a houzz picture with similar location of fridge and island.