Why do you think price range is particularly the key?
Actually, I don't know, so that's why I ask in this forum questions and opinion

As I wrote I am new in all of this, so for me all opinions and suggestions are really helpful. I am looking how to upgrade my current setup and improve sound quality. And I was thinking that DAC can help me to achieve that.
I would not say I have what would be considered a budget system, and the RME was probably 2-3x what I should have spent (i.e. what I needed).
But I most do vinyl and TV and stream for podcasts and background music.
…. I am looking how to upgrade my current setup and improve sound quality. And I was thinking that DAC can help me to achieve that.
- How do you want to improve it?
- What is wrong with it?
- Or what do you believe is lacking?
- Do you only use digitial music?
- Or are there other inputs (TV, LP, etc.?
- Do you have some sort of goal in terms of what it should do and how it should sound?
The statement “Improve it” suggests that one can point to something wrong, which can be made better.
Unless you have some measurement showing that the sound it not good, like poor frequency response, or insufficient bass or ”Sound Power Level” (SPL), then it will be spending money on things which have not rational reasoning which shows that they are needed.
and it is easier to improve on one aspect, or say speakers if one has an amp, and preamp.
But active speakers maybe a better improvement.
I would go slow and consider some plan or goal.