Recommendation for Dac for streamer


I'm thinking of replacing my current integrated amp that has a Dac with a Luxman 590 AX11integrated amp without a Dac.  The seller recommended a Luxman D-03x CD player that has a Dac.  I have Aurender ACS10 and Nucleus Plus streamers.  Can those streamers use the Luxman Dac or should I forget the D-03x, and buy a really good separate Dac?  I'm relatively new to this, and may not be expressing myself well.
daj2832
Really depends on what sound characteristics are most important to you.  DACs come in many flavors/types and there are a lot of very good ones out there these days so would help if you could narrow it down by sharing your sound preferences. 
I have a Aurender N10 and the DAC is the Ayre Codex planning on upgrading to Aesthetix Pandora  at $6500

Enjoy the Music
Tom
The sound that I like is precise, but not analytical.   I want it to be musical, if that makes sense. I grew up with records and tubes, and I loved that sound.  That sound is probably driven more by the rest of the system (equipment, cables, room, etc.) than the DAC, but I'm open to suggestions.  The rest of my system will be the Luxman 590 AX11 (I'm replacing the Bel Canto ACI 600), Paradigm Persona 7f, OPPO 205, and an assortment of cables from Cardas (speakers, balanced cables), and Nordost.  I also have one REL 212 SX subwoofer.)
Based on that, I'd recommend an Audio Note DAC in your price range. If you're handy with a soldering iron, consider ANK Audio Kits (Audio Note):

https://ankaudiokits.com/product-category/dac/