Small room amp and speakers recommendation


I have an area in allocated in my new house for a listen room that is approximately 7ft x 12ft x 10 ceilings....i know it's small, hut it's all mine away from the kids. I am look for advice/recommendations on an amp and speakers for that area. I want to keep the budget under $5k (the lower the better). I listen to a lot of vinyl and a majority or my preferred music is acoustic with some rock mixed in on occasion. Please let me know what you think and if you have an other questions on my desired set-up.
Thank you
weiky
You haven't mentioned if you can get the speakers away from the walls or not. There's some great recommendations here, but some I'm not so sure about since you're not going to have much in the way of fudge factor. JBL and KEF are both good for near field type listening.
There's some interesting recommendations, I'll come at it from the cheaper end, as I always start low and work my way up. There's been some great integrated amps mentioned, so many good ones out there you really can't go wrong. Don't overlook companies like Schiit, that make budget and space friendly gear. Currently, you can buy the Polk LSiM 703 bookshelves for less than half off - about $600/pair. All the good Christmas sales are over - like LS50's for $900. At this point I'd never pay $1300 again.

Further improving your available space, I'd consider Elac Navis ARB-51's and kill 2 birds with 1 stone. That gives you a lot for your turntable/cart/cable, and a bit left over for streaming if you want to go there. Plus, the concentric design works incredibly well for near/close field listening. I prefer them a lot to something like the KEF LS50W's. For even less money, the Edifier and Fluance have been getting rave reviews. I've heard lots of positives from those liking jazz and classical.
You could go with Fritz Carrera 7 BE. In home audition is available. It’s not too hard to drive, so plenty of amp options. At Capital Audiofest 2018 they were paired with an 8 watt Modwright headphone amp
https://m.youtube.com/watch?v=zbroWg_cwCQ
That amp is above your budget, but I just mentioned it as an example of amp choice flexibility. Plenty of nice reviews out there for this speaker.
Thanks so far for all the advice, I have been reading a lot over the past 2 days. I was kinda hoping a few speakers and amps would keep getting recommended so a could focus my search, but I can see just how subjective audio equipment can be.
I am going to research more into the sizing of the room to try and tweak the acoustics as much as possible. 
I know I will be running vinyl on this system, as I have a brand new project carbon espirit turntable, other than that, I assume eventually I will stream of get a good cd player.
Overall, I want to try and keep the system simple, 2 channel amp, speakers, good interconnects and the turntable...although I am probably missing something.

Another to add to your list: Tekton Design Perfect SET

https://www.tektondesign.com/the-perfect-set.html

$1800 new.

I listen to a lot of vinyl and a majority or my preferred music is acoustic

I can't be more impressed with my large bookshelf kit 2-ways from Madisound.  A ported "Klang-Ton" NADA speaker build with Scanspeak Illuminator drivers and upgraded xo parts.  $1900.  I had the cabs made by Lee Taylor.  He builds lots of gear and these are his favorites. Over the top quality for about $1000.   Could save there (dont skimp on build, just the finish).  A used Rogue Sphinx II Class A/D amp from here on Gon for $900.  REL T-7i 10 inch sub finishes it off for $950.  Super open, clean and accurate down to 30 hz.  Small room.  Mixed vinyl and CD.  

Came from classic JBL 4311b and NAD power.