Okay. In that case let me give you advice I was given long time ago by a pro audio reviewer when I was in your situation: you need to hear it. While everyone will be able to tell $5000 audio setup plays better than $500 one, in same category there are differences based on audio you listen to and also on your own perception of sound - it's different for every person and we are not talking only about frequency range you are able to hear.
Every decent audio studio will provide you with hearing/testing session free of charge. For this session you should prepare following audio tracks (burn cd, take along), at worst case they'll have their own testing cd ready, but you should really compare with something you know:
1. You should know all the tracks well
2. You should get those tracks in best possible quality (Super audio cd/dvd, audio cd, going down to mp3 - bitrate itself is not 100% indicator of quality, better algorithms can make out more on same bitrate)
3. This mixed up audio cd should contain following:
a) spoken word - in this test you should check how _quiet_ you can set the system and still be able to clearly hear what is being said
b) classic music - no matter what, classic music, given it's usually thing of huge orchestra with many instruments, gives very good indication of overall system quality both when quiet and loud... In quiet play, you should compare how various instruments disappear when you reduce volume, in loud play, you should look on overall balance and how clearly and how well separated each block of instruments is.
c) guitar play/violin - colour of tones, with good setup you should be able to hear artist fingers touching the guitar neck
d) movie soundtrack - Ennio Morricone, John Williams, Jerry Goldsmith etc. - those are really good and complex for the test
e) game soundtrack - what you usualy listen to when playing, pick one or more you know well
f) game sounds - if you play FPS all the time for example, various gun sounds, artillery etc.
g) voice singer, man or women, usually best trained voices are with famous opera singers (although many pple these days consider opera unhearable so... 🙂 )
h) any well known music
Most important is how comfortable you feel listening to the music and overall impression you get. You should also take along your DAC and let them show you the difference (I don't know that one but as it 'came with' I suspect it won't be anything stellar).
A/V receivers are well... "sitting with one butt over many chairs"... it does many things but none really well. Most of all it likely won't have enough output power to feed correctly good passive speakers (tones will blend, low frequency basses would be dull).
If you hear bass sounds making "booom booom", skip it, it's a supermarket junk (but beware, many CDs have artificially added 'booom booom' since many teenagers think they are cool as long as it boooms enough. Properly bass you rather feel on your chest than hear in your ears. Well, that's not entirely exact... How to tell, you hear them but they don't put you in a closed ball. Good for this is sandworm calling scene from old Dune by David Lynch (it should massage your chest, but shouldn't do huuuuum huuuum sounds).
I don't know audio studios in Germany, I am sure you can find good ones that will make you a session, but in case it failed you can try with
http://www.studiospalicek.cz/ who are based in Ostrava, Czech republic (offer wide variety of speakers, amps, etc.)
or
https://www.xavian.cz/ who are based in Prague - they sell only their speakers but offer amps from various renowned hi-fi manufacturers. Usually in sets they built and tuned to fit together.
(both are validated to provide listening sessions on request, in worst case I can arrange a session for you at Xavian (it's not far from where I live), but better for you to get the session on your own)
And one warning at the end. Unless you are prepared to spend money, DO NOT go to that listening session, else you will be doomed since you'll know how this or that audio COULD sound on an 'entry audiophile' level.