Personally, I’d begin by hanging drapes instead of the blinds.If you still want more colour, you could hang artwork, add a table runner/cloth, switch up/add decor items to your cabinet/countertop or paint the walls (soft green, maybe). You could also have the chairs reupholstered or change your area rug/floor mat if you just want something different. These last two options may not “read” as adding colour though because they are hard to see, from the kitchen. I wouldn’t paint the table or cabinet until I explored some other options.

I would not paint that beautiful table. I would get new upholstered chairs for the room. It won't look so matchy and dated

I agree not to paint the table but some less matchy chairs could work but I think just changing the seat fabric could also work I do not like the window coverings in that space at all and replacing the fan with an actual chandeleir would help a lot. Some stools that are not wood to break up all the wood . IMO the display cabinet makes the DR feel even smaller than it is , maybe a 30” have shallow cabinet could work with a piece of art above it. I know you want to make your old furniture work in the space but IMO it doesn't