I've always seen these referred to as "secretaries" or "side by side secretary". It's common to see them with shelves on only one side with the drop front desk on the other. (I have my grandfather's, dating from 1900-1920.) Here's one on Ebay with double shelves. Here's an image of one geared more for china storage/food serving (no drop front desk), they're listing it as a

So this isn't the greatest picture (and please note this is an UNFINISHED kitchen and sorry I just realized my butt is in the picture because my DH took it while I was cleaning the glass on the range...) but you might be able to make out the 18" pantries flanking the 48" SZ. The doors open left and right 90 degrees, just like a SxS, which works perfectly as our drop zone is on the island across the aisle (galley style kitchen layout is on page 7 in the gallery kitchen forum). All are 27" pullouts (set in 30" deep cabinets) and completely adjustable to whatever heights I want. Note: The top of the pantry is at 60" - I didn't think pullouts any higher than that would be of much use. I keep extra appliances (slow cooker, rice cooker, colandar, roasting racks, etc) in the upper cabinets above the pantry. This is not quite enough space for us so I use the cabinet under the prep sink for big stuff like gallons of vinegar and 20# sacks of basmati rice and the weird flours that we don't use much (for making tortillas). I also have a big hall closet that I use for cases of big cans (I shop primarily at Costco). Hope this helps your thinking/planning a bit.

Place the sofa facing the FP and a round glass and metal coffee table 18" or less from it. You need a rug at least 2 feet wider than the sofa that can sit 12-15" from the hearth and slip under the front 1/3 of the sofa. Use painter's tape to tape it out on the floor and if it isn't a standard size, go up one standard size. The two chairs look cool as art, but are extremely uncomfortable, especially for sitting through a movie on TV. If you can return them for pair of comfortable armchairs your bum will happier in the long run. If you get swivel chairs it will be even better for turning to watch TV, as I would place them either opposite the window or flanking the sofa and facing each other over the coffee table. I would put matching consoles either side of the FP. The TV gear can go in the one under it. You can set the TV on a swivel base or wall mount it on an articulated arm. Use a table lamp and some accessories on the left one.

500 each ? I think for 1k, you could prob have a handyman or carpenter come in and build you something very simple for that price. You would do your own painting. This way, it fits perfectly. (maybe look for a remnant stone piece or marble to go on top. craigslist might have some, or go stop by a fabricators warehouse. they often trash small pieces in the sizes you would need for those cabinet tops) But if you like those, they could work. what size is your space and what size is that cab? check out some of the DIY ones have you seen this one? (yours is smaller so it would be a bit easier. she gives you full details https://thediyplaybook.com/white-built-ins-around-the-fireplace/ https://thesweetestdigs.com/the-living-room-a-fireplace-built-in/ Ikea Hacks have a few w/the Billy bookcases http://www.iheartorganizing.com/2015/05/diy-fireplace-built-in-tutorial.html you could look for simple base cabinets, build a platform for them and paint