Naive question on chains for 8 speed

I have little knowledge on bikes
Re my 24 speed bike (8 x 3)
Type of bike : I would say it's a racer with flatbars (hybrid but more a racer)
Questions :
Can I put any chain on it ? (e.g. any race bike chain or does it need to be 8 speed etc )
Or are they often not compatible ?
Would there be any advantage in buying say a Dura ace or 105 chain ? (rather than my standard cheap chain which is a Bell 24 speed).
What are the rules to follow when buying a chain for your bike and what are the 'upgrade' options ?
Thanks
Re my 24 speed bike (8 x 3)
Type of bike : I would say it's a racer with flatbars (hybrid but more a racer)
Questions :
Can I put any chain on it ? (e.g. any race bike chain or does it need to be 8 speed etc )
Or are they often not compatible ?
Would there be any advantage in buying say a Dura ace or 105 chain ? (rather than my standard cheap chain which is a Bell 24 speed).
What are the rules to follow when buying a chain for your bike and what are the 'upgrade' options ?
Thanks
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Posts
The number or rings on the front of the bike makes no difference (i've never understood why they refer to some chains as "24" speed rather than just simplify it as "7,8,9 speed" etc).
I am interested in trying a narrow 9 speed as I presume they may be slightly lighter too ?
There doesn't seem to be many 8 speed chains on offer so a 9 speed would be good.
Don't worry about weight.
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build