DAC upgrade

Berkeley Alpha Reference 3 would be my recommendation. It is detailed, lifelike and natural. i’d recommend an Audio Research DAC9 but it is getting a bit long in the tooth, and doesn’t have DSD. I find dCS to be too sterile. 

What’s your budget, and are you looking for new or used?

+1

If you’re looking to buy new make a list of DACs you’re most interested in and try to arrange for home audition. 
In that system with the streaming setup you currently running you are most likely looking at DACs ranging from $20k to $30k retail. Your Chord is out of place there and if you don’t like Chord sound and want something smoother you can add to your list FPGA DACs such as Playback Designs, EMM Labs. If you want tubes you have options in Aries Cerat and Lampizator. But again, these are just some examples - home audition is key. 

Thank you all. Budget would be up to 20,000 (possibly up to 25,000 if it would make enough difference). I have been happy buying used. 
I really appreciate all of the input. 

OP here's a recent review in stereophile https://www.stereophile.com/content/bricasti-design-m21-da-processor  I've heard this dac many times, not in my own system, but ones I'm familiar with and it always impressed me. Just not in my own budget. 😞