LOVE THAT AREA WITH THE VIEW. I am not sure how the space next to the kitchen is connected to that great space . I for sure think you need a new fabulous kitchen to go with the rest of the house . BTW you need a bigger rug in the DR. I would ove to see all the bulbs changed to LED 4000K that yellow glow does nothing for the space .Can you post a to scale floor plan of the whole main living space ? Do it on graph paper show every window, doorways where those lead and every meausurement clearly marked . Post here in jpeg format in a comment DO NOT start another post . We also need to understand the budget if a new kitchen is what you want . The drawing will help us to visualize that space next to the kitchen too.

Without knowing your style or furniture you have, it’s hard to make suggestions. Maybe add an island like these from Crate and Barrel? https://www.crateandbarrel.com/furniture/dining-kitchen-storage/1

What function(s) do you need this room for/ It looks very big in your photo. What are the dimensions?