The 800 is a fine piece of equipment. You need to do some comparisons between that and a D600 and what you like to shoot and how you shoot.
The D600 is a slightly smaller body than my D300 and a D800 but not really an issue. After I used it awhile I don't notice anymore.
There is always the nerds fussing about details and if the D600 is a pro camera or not. Hogwash, on most of that. Get the best lens you can afford and either one of the FX if that is the way you want to go.
The new sensors compared to my D300 are vastly different mostly the lack of noise and any ISO.
In most cases with the life of any piece of electronic equipment I'm not too sure about investing more than the level I am now for awhile in any one body.
I may have mentioned if you get one at the right time you could get two D600 bodies for about the cost of a D800. It has changed some but for what I do that was the option I left open.
I found the D800 not to be as easy to access some functions I use a lot without going into the menu like the D300.
There are also some more functions for the casual user on the D600 but not really something I use much. Like the scene mode for presets.
I liked the two user programmable selections on the dial so I can set up what I want. I seem to favor Fstop priority for what ever type of shooting I am doing while watching the shutter speed depending on the subjects.
I shoot lots of different venues and subjects.
This was about 7 pm late fading shadowy lighting. I shot a series of her blowing bubbles and wanted to get the reflections in the bubbles of some patio lights.
Surprise when I caught this one. On the original full frame image you can see her eye and it's in focus thru the bubble!
At some point many years ago I gave up the night scene playing drums and passed them on to my brother in law who has come a long way. He sat in with this group before his band played.
This was the D600 with a 50mm 1.8 shot at max ISO of an amazing value of 25,600 (no flash) with what I consider "usable" or acceptable noise considering wanting to preserve the night scene appearance and lighting.
The only overhead lighting were from two canned ceiling lights dimmed way down and exterior lights and beer signs.
By the way the kid on the left of his Dad, both playing guitar, is only 11 and can tear up jazz and blues and Jimmy Hendrix songs!!!!!
Bro in law is the one in the middle biting his Zildjian cymbal, or so it appears.
This is my favorite model from my Daughters dance studio recital.
I shot this from the back of a 1000 seat auditorium with the D600. This was the first year in about 28 that the technology finally allowed this level of image that was not too grainy or noisy. Yeah it might be a bit soft and maybe some noise, which could be fixed in post, but this is with a 400mm lens, handheld with VR on, 1/200s F5.6 ISO1600 tungsten white balance to adapt for the stage lighting.
Parents bought "lots" shot this way as never before.