If you don't have the budget to address it correctly to make it an integral part of the house, then you will either have to leave it as is until you do have that budget, or eliminate it. It's no good throwing some money at it to do it half way. That's why my sunroom sat unused for almost 20 years. To be able to do anything to it mean reconstructing it completely. We tried just adding in a window AC unit in summer and a vent free fireplace in winter to make it more usable. Didn't work. Too many uninsulated windows kept it blazing hot in summer and cold in winter, even with the help. We are finally tackling the redo of our sunroom this fall. It's becoming part of our home, as we redo the exterior foundation and walls and use LVLs and engineered I joists to be able to remove the exterior wall of the house that it was attached to and create a large open sunny room. The material costs alone are around 30K, and that's without labor. If we had to pay labor costs for this, it would more than double the cost of the project. It's slow going, because the "beer and pizza" crowd of friends who are helping have their own schedules and are only able to help intermittently. But, as the new cathedral roof from the new exterior wall was taking shape, and I could look up further than the 7' ceilings that the space had, I was so happy that we're tackling this the right way! It will add so much sense of space to our house, even if it doesn't really add much square footage. And the difference in light is huge! Having a sunroom on the exterior cuts down on the light that reaches the interior. You really have no idea how much until that wall is gone! So, if your 40K budget is for a kitchen remodel, maybe hold onto it until it's more? It will depend on where your sunroom is and how it could possibly be incorporated into the home as to how much reno costs for it would be. But, if you just did a "facelift" for your current kitchen, painting the existing cabinets, and not replacing the appliances until each of them had died, would it be possible to shift some of your funds to addressing the sunroom? We'll probably live a very bare bones existance over the next year or two until the project is fully completed, but living with just a slab floor and a less than ideal HVAC system is something we are willing to do in order to be able to afford the "bones" of the major project right now. It's messy and dirty, and if I had kids, I probably would think twice about it, but that first tilt of my head to be able to look up makes the whole thing worth it to me. Take stock of your DIY abilities and situations that you can improve those. Save more money. Explore all options, both with addressing rebuilding the sunroom, and just eliminating it. Feel out what would be right for your situation. If you would like some feedback on your particular layout, then create a layout drawing and post some pics of the space for ideas of how your space might need to...

A couch may be too overwhelming and a love seat is not comfy for two for any length of time watching tv. Maybe consider really comfy chairs (see below) with ottomans placed on an angle facing tv. Add blue cushions and a rug, to work with outdoor furniture and a floor lamp for low lighting so space can feel cozy at night when watching tv Add small serving tables beside each chair for practical purposes. The bar cart on wall next to doorway so it provides more room for seating vs where you were going to place and just add tv above on the wall

I’m jealous of the beautiful space you have. All those windows are great. My suggestion would be to make a dinette area on the wall where the tv is currently. To furnish it I would use an upholstered bench along the wall flanked by two small bookcases. Find a narrow table to use with a couple of side chairs opposite the bench. I would keep the sofa where is is but pull it out from windows by about a foot. Try sliding the chair to opposite end of the sofa so that it faces the windows. Get a beautiful tv cabinet (keep it low) and place it with the tv in the area that the cafe table is currently. The tv will block the window slightly but will will be unobtrusive in that corner. Shades will be a must if you plan to watch tv without glare during the day. Plus will help with cooling the room in summer and make it more comfortable to use that space. I would use small recessed lighting above the dining area. A couple that shine down on table and one the could shine on a pice of artwork above the bench. I’m also a believer in dimmer switches as I like to dim lights at night for mood lighting. I would also use floor lamps to flank the sofa. I would suggest tripod style lamps as they make a great transitional look. Add a rug and you’ll have a wonderful room.

I’d paint all the trim (and the shutters if you want to keep them) a white that is similar to the window sashes. The stained wood/glass doors can stay as is…stained doors surrounded by painted trim looks very nice! Your sun porch is a really nice feature…Here are some inspiration photos that might help guide you! Good Luck! https://www.houzz.com/photos/west-chester-beach-style-sunroom-providence-phvw-vp~126777679 https://www.houzz.com/hznb/photos/exposed-brick-sunroom-traditional-sunroom-st-louis-phvw-vp~82303807 https://www.houzz.com/photos/dreamy-back-porch-traditional-porch-atlanta-phvw-vp~16495890 https://www.houzz.com/photos/nantucket-cliffs-traditional-sunroom-boston-phvw-vp~848581 https://www.houzz.com/photos/the-atrium-portland-symphony-showhouse-traditional-sunroom-portland-maine-phvw-vp~334641