Just for reference.
The "kit" you are referring to would most commonly be called a home theater in a box (HTIB). Comes with Receiver, Speakers and Subwoofers (the 3 components you need). An HTIB might be dooable and fit your bill exactly, but it is much less flexible and almost always they will be missing something comparatively.
Your requirements sound somewhat similar to mine, 3 HDMI inputs with Audio Processing, 1 out, 7.1 and whatnot.
I ended up with this setup which might be a good jumping off point for you, also the satellites are ceiling mounted and the mounts were dirt cheap from monoprice Brackets = [price I paid including shipping]:
Onkyo 705 Receiver (7.1 3 HDMI In, THX Select2 Certified) [610]
Bic Acoustech H-100 Subwoofer [250]
Athena LS-100B Front Speakers [125 for both]
Athena LS-C100B Center Speaker [125]
Athena LS-50B Satellites [140, or 70 dollars per set of 2]
Total price ~1250 dollars total (I think it was actually 1247.96 lol). I didnt buy this stuff all at once, Initially I just had the receiver and a $230 7.1 box-o-speakers (Onkyo SKS-HT540 Kit) , which were nice but lacking for my main room. They found a second life in my bedroom though and I still like em. I then did some more research and found the Athenas would be a great bang for my buck, especially since they were all going on clearance as I was looking. Then I found the Bic after hours of scavaging the AVSforum subwoofer forum. In the end though I am 100% satisfied with my purchase, as the setup packs a great punch and has amazing clarity.
Back onto your subject though, what budget are you looking at, because this will shift recommendations alot. If you got 10000 to spend, I would definitely change my recommendations.