Your budget means doing some serious value - oriented shopping. And that means finding a decent Preamp/DAC/Power Amp + 2 sets of interconnects combination with a reasonable WAF for under $3K. Tough shopping there. So I'd look at integrated amps:
Marantz Model 40 - $2495
80 W/Ch 8 Ohms/ 120 W/Ch 4 Ohms
Streamer
Phono Preamp
Monitor Audio Silver 300 7G $2850
2X6" Woofer 6" Mid 1"Tweet
Half a dozen 'Best of ...' Awards in the US and Worldwide. Absolute Sound Editor's Choice, StoundStage Recommended reference Component, etc, etc,
No bigger foot print than a standmount
Gorgeous Finish
That leaves you around $2K for a second/third source (Marantz CD 60 @ $999) For Vinyl, I'd go with a Rega Planar 3 or the really awesome Audio Technica AT-LP2022 For the WOW!, To keep the price down a bit, the Audio Technica AT-LP7 or Pro-Ject Debut Pro Turntable are not exactly peasant fare.
A pair of speaker cables and you're done. If you went to a single source for all this I'll bet you'd could geta pretty sweet system price to boot, easily under $7k - with tax. You could even hold off on the CD and Turntable and bring it home for around $5K if you just wanted to stream.
And you would have a very serious mid-priced system with none of the service concerns you'd have with smaller boutique brands.