Again, agree. As I look at your photos, I have to wonder about rug fit. Your LR looks narrow because the hearth is in the room. So to make that dimension fit a store-bought rug, you might not get the length to cover the room more fully. It might be a good idea to put your room dimensions to paper, and then see how a rug would fit. An alternative is to buy a piece of carpet and have it bound. There is so much to choose from these days, and if you luck into a remnant you like, it is very economical. What room is next to the LR? You can also lay an area rug there. Two complementary rugs would be fine. And about tripping -- the rugs should be sturdy and substantial (with padding).

Love your space! I think the general rule of thumb is at least all of the front legs of the furniture should be on the rug. Based on the renderings above, I believe the 6x9 is a very nice size for your space. You'll also need to decide if you simply want to unify your seating area or if you want to include your tv console in that. Personally, I would lean towards only unifying the seating area and allowing the wood to create a natural walkway between your sofa and tv. This will keep your rug from wearing out sooner as well. When looking at rug reviews, be mindful of how much the rug itself will shed too (you mentioned your dog shedding). Good luck on your rug search!

Can you return it and get a smaller one? (I admit I think your fireplace wall is lovely and I personally wouldn't ruin it with a television. But I am a tiny minority who has lived without television for almost 30 years.) Is there another room in which to put it, or do you prefer to use this room for watching it?

I’m glad you found the trampoline suggestion funny. :) I thought it was fun. But then, when I thought about it last night after I posted it, I thought, ”Yikes... I think I’ve really been on Houzz waaaayyy too long... 😂 I agree that it really comes down to what you are most comfortable with. Your comfort is the most important thing. So if you are comfortable with the loveseat with back to window and tv in the current position, definitely - why not. You could just leave the tv where it is and not go through a whole thing of converting the closet, etc. So yes, lower it a bit, if you can. And if you wanted to fill the space below tv a bit more, one idea could be some kind of plant stand under it with one tall plant or a shelf style unit with a couple of small plants on it, etc. Another layout you could consider - if it is possible - is to float the loveseat with it’s back to the closet, leaving enough room for reclining, and put the tv in this area. This way you are facing the window and not sitting with your back to it. And you have a number of options for the tv setup in this arrangement. You could use a mobile tv stand/console with wheels, and this would give you a lot of flexibility for placement - either in that corner or you could roll it over to be more centered in front of window, etc. These wheeled consoles are very convenient, and come in all kinds of styles these days. Or you could possibly use some type of corner console there. And as another option you might be able to just use a floating shelf style console. Depends on what style console you prefer and what would work best for you there. And if you decided to use a stationary console, you could wall mount the tv in that area and use some type of angling extension arm, to give you flexibility to make viewing adjustments. All types of arms available, depending on your needs and preferences. If you didn’t want to put a door on the closet right now - as one idea, you could put a folding screen in front of closet, and it would be a backdrop to the loveseat - if you can put loveseat in front of the closet. Could also be a nice look. I don’t like to promote glass coffee tables - plus for you end tables or mobile C tables, nesting tables, etc. would work better than a coffee table with your recliners. But just wanted to show the screens with sofa in background look, and this screen above, in setup with glass table, is another nice artistic screen, so I threw it in. :) But you can use any type of screen in front of the closet. And that would still be an option for you, regardless of where you decide to place the loveseat. All types of styles available. Sky is truly the limit. :)