Congrats. Attractive looking room. Like all that natural light ... and a deck -- upvote for that. You might want to make sure the deck wood is sealed before winter weather. There are products for that.

I'd probably remove the antlers -- but I'm not a great fan of dead animal parts for decoration. Far better the antlers, though, than the heads.

If you're on a budget (and most of us are), there are other matters to address before busting your budget on all new furnishings. You may need to decide what furnishing you have that you will want and need to bring and what you will not truly need, then live in the home a while before splurging on all new furnishings. (Habitat for Humanity will usually pick up furniture donations.)

If this space is for a couple that usually do not do a lot of entertaining, furnish it for that. Definitely bring your most comfortable seating. If you have and bring or if you choose to buy a large sectional, you'll not have room for much more.

Sit in what you buy and shop for comfort as well as sized to fit your space. You might consider drawing your room to scale on graph paper and then draw, also to scale, the furnishings you have or are considering buying and see how they may fit.

Perhaps be on the lookout for a couple of comfortable bar stools that could double as guest seating without taking up a great deal of space, although that's not really much of an overhang on that peninsula for use as a bar. You might consider adding a bar on the living room side of the peninsula beneath the existing countertop for use as a bar -- the board/bar you add need not match the countertop if you cannot match what is there. You could choose something entirely different -- a wood board, painted or not.

Unless the patio doors and window are double glass panes and intended for cold climate, there could be a lot of heat loss there that you may need to address if your mountain cabin is actually in the mountains where it gets cold. Insulated drapes may be in your future. Since it's September, that might actually need to be among your first purchases.

Are you aware that heat rises and most of your heat likely will end up next to the ceiling and upstairs?

Does this cabin have a separate heating system for this great room than the system that heats the upstairs? Is that a wood burning fireplace?

You might consider adding patio doors between this great room and the rest of the house to help hold the heat in the room.

You will likely need that ceiling fan to circulate the heat accumulating in the vaulted ceiling throughout the room.

Don't see a fireplace screen. You should invest in an attractive cover for the fireplace to keep any heat from a central heating system from going up the chimney as well as to protect your flooring or rugs or furnishings from sparks from burning wood when you do have a fire burning in the fireplace.

You will also need to not block any heat/ac vents or returns with furnishings -- something which could impact any planning for furniture purchases or placement.

Enjoy your new home; it's lovely.

Where does the tv go?

I'd probably remove the antlers -- but I'm not a great fan of dead animal parts for decoration.

We had a second home in Colorado with similar light fixtures. Antlers shed naturally, and I would go far as to say 100% of the antlers used in making chandeliers and floor lamps like the one the OP has are shed naturally. Click here for interesting information on this subject.

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Great space! Congratulations on your new home. Looks like the living room is large, since the dining area is to the side of the kitchen. With the wood trim, ceiling and floors, I would add a few area rugs (entry, LR, DR), wall color (a nice medium green to bring the outdoors in), and knowing me, I would paint the kitchen cabinets the same as the wall color. New hardware to make it more personal. The plate rack is cute, but shallow, so not like shelves. Either use it to display a collection of pottery pieces and lean a few pieces of art, or remove it before you paint.

The fireplace chimney should have a flue that will stop heat loss (of course it has to stay open while you are burning wood, and until ashes cool). If you want to use the fireplace as a heat source, look into ventless logs (natural gas or propane, depending on the area's source).

Since you have two sliding doors onto the deck, I would use a comfortable chair with ottoman next to the bookcase. A place to relax, enjoy a fire or read. With limited space and lack of overhang, I would treat the peninsula as counter only, not trying to fit in stools. You said your things are too big for the space, but don't say if you have sofa or sectional. Either way, I would face the beautiful stone fireplace with the main seating choice and use a pretty sofa table/console behind the sofa. Something with a lower shelf for a woven basket (can hold throws) and a large pottery piece. Since no floor outlets you couldn't put a pair a lamps, but I would not use anything to bulky, so the room isn't visually divided.

After you move, post photos of your things in the new space and we will can make more suggestions. Enjoy your new home!

A layout similar to this would work

Allison's suggestions and Beverly's layout are ideal. I agree with putting a green on the walls, maybe a soft greyed-green. In a casual setting like this, I can see two-toned cabinets, keeping the uppers white for a bit of contrast against the green wall and painting the lowers in the wall's green color. I also agree with what's been said about the antler fixture. It's a perfect complement to the home. We used to have a small lake cottage in northern Michigan that came with a small antler kitchen chandelier and lights with mini-shades. I switched the shades to a toile design (I was into toile at the time), and I liked the cottage-y but cabin-y feel of the result. :-)

If you like the antlers, you should keep the fixture. As a child, I found the idea of a "lucky rabbit's foot" disgusting. By age six there was only one doll I remember not actively disliking. As an adult, I find most dolls are truly creepy. So, some of my likes an dislikes are a bit outside the norm. Your home should reflect your taste. Enjoy it.