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.