Upgrade your streaming service(s) first. You might be surprised at how good your current DAC can sound.
Time for a new DAC?
In my modest audio system I still use a Bryston BDA-1 DAC. DAC chip sets have evolved since this unit was designed and built but the power and output stages are likely still capable. I have not dipped my toes onto hi-rez music services such as TIdal or Qubuz and currently use only Spotify for music listening. Given these parameters would there be a significant audible benefit to upgrading the DAC to something around $1200 or less? The other relevant components in the system are a NAD C165BEE preamplifier, Adcom GFA 5500 amplifier and Totem Forrest speakers. Currently I Bluetooth through an Auris BluMe but am considering a streaming device in its place.