DAC for entry level system

Hello,
I have an entry level system.
Speakers: Vienna acoustics Bach.
Plinius 8100 integrated amp.
Arcam CD72 player.
Logitech squeesbox touch.
I would like to buy a DAC to my system, but I don’t know what price level of DAC will get me much better result than the internal DAC that I have now in the Arcam and the Logitec. Will(example of price groups) $179 HRT music steamer II will do it? Or $379 Musical fidelity V-DAC MKII, or $649 Simaudio 100D, or $995 Rega dac.
Thanks.