If you don't mind putting some money down then I found the mic on these are truly awesome and the game sound quality is also. Failing that a regular pair of Turtle Beach headphones with mic will be fine on a budget.
I have one of my Xbox One's setup with Creative Labs speakers so do something similar to you, have the speakers on loud but have the headphones on with chat only. One thing to mention is if you're going down this route get open back headphones like the ATH-ADG1's most Turtle Beach and gaming headsets are closed back which means you won't hear the gaming audio from your speaker stereo system as well.
ATH-ADG1s. They're the brother to the ATH-AG1's, which is basically the same thing but closed-back. Both are fantastic headsets, look amazing, actually have a good mic, and have come way down in price from what they originally launched at.
EDIT:
Im thinking of the AD700X (160 Euros) and a modmic for 60 euros
Any suggestions ?
EDIT:
Only headset that seems itnrested is this http://www.amazon.de/Audio-Technica-ATH-ADG1-Gaming-Headset/dp/B00H8NS1K8/ref=sr_1_1?ie=UTF8&qid=1439746187&sr=8-1&keywords=Audio+Technica+ATHADG1
Price is 270 euros tho. What would be better ?
If money isn't the most important factor to you, I would recommend looking into something like these. You'd need to purchase the headset adapter separately but IMO it's worth it
Yes, but you need the Turtle Beach Advanced Controller Plus. You won't get microphone though. Personally I went with the (a lot more expensive) version of the ATH-ADG1, well worth it but they are a lot of money.
What would your opinion be on the Audio Technica ATHADG1 Open-Back Gaming Headsets? I was thinking about picking these up within the next couple of weeks.
For $350 this is probably the best solution. http://www.ebay.com/itm/Turtle-Beach-Ear-Force-XP-Seven-AUDIO-CONTROL-UNIT-6313-/191249059968?pt=US_Video_Game_Headsets&hash=item2c87551080 http://www.amazon.com/Technica-ATHADG1-Open-Back-Gaming-Headset/dp/B00H8NS1K8/ref=sr_1_1?ie=UTF8&qid=1407712557&sr=8-1&keywords=audio+technica+athadg1 EDIT: Just saw you had 558HD's, just buy the Turtle Beach Audio Control Unit. (First Link)