First, begin your scheme with a photo.

Lucky you. :). You can paint whatever color you like, do you have a favorite color? I can’t help with the table, but do some research on Chairish or 1stdibs and see what they are going for there. The style you like is mid-century modern, very popular right now. West Elm has a lot of furniture in that style. Pictures will help. Make sure you measure your space before buying anything (including doors and any places with tight turns).

tv is on the wall in the area where the fan is, the long wall with no window. since you have a dining area in the kitchen I would treat the other area as part of the entry/ sitting area.

Good instinct! The size is very important! That means we need measurements of the space please. Can you tell us what the blue room is all about? What is that space supposed to be used for? Is there a dining room somewhere? Or was the space in front of the fireplace supposed to be a dining room? Now that you are talking about your furniture and space, how about postponing the wall paint ideas until after you figure out your space usage and supporting furniture. You might want to share your thoughts on usage regarding family size and entertaining style too. Wall color is typically the last thing that gets decided. When you do get to the walls, I think previous owners at some point deviated from the plan by putting the stone fireplace up only half way. It looks very nice. I would like to explore if it could be matched and go up to the ceiling. If not, I'd prefer to match the color of the stone up to the ceiling and have a different color flanking it, including painting over that broad white board.  That mirror might reflect light in a really fabulous way none of us can know of, so I'd live with it awhile. If you live with the mirror and don't like it or see a need for it, and if you can't match the stone or don't want to, then removing all the stone is an option (not recommending it, just helping you think). If you leave it as is except for better paint choice, art is a possibility but don't make it busy. A Georgia O'Keeffe would be better. Alternatively a tapestry. But first, knowing there will be solutions, start by providing a floor plan and measurements. If you are buying this house you should get a floor plan anyway. Insist on it and get it digitized if it's not already. You will want it many times.