Rear derailleur to replace Shimano Alivio

Hi
I'm trying to buy a rear derailleur for the first time (because I want to fit it myself) but am a little overwhelmed by the decision of what to buy - hope someone can help!
Details:
Specialised Globe (hybrd) currently with a Shimano Alivio rear derailleur and a Hyperdrive front.
My rear cassette is 8-speed
So my questions are how do I decide what would be compatible with my bike, what are my options, and does anyone have a recommendation?
I'd like to go for something a little better than the Alivio (I'm no concerned about the weight of the component, but more in terms of quality, shift-speed etc).
Thanks!
I'm trying to buy a rear derailleur for the first time (because I want to fit it myself) but am a little overwhelmed by the decision of what to buy - hope someone can help!
Details:
Specialised Globe (hybrd) currently with a Shimano Alivio rear derailleur and a Hyperdrive front.
My rear cassette is 8-speed
So my questions are how do I decide what would be compatible with my bike, what are my options, and does anyone have a recommendation?
I'd like to go for something a little better than the Alivio (I'm no concerned about the weight of the component, but more in terms of quality, shift-speed etc).
Thanks!
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Previous:
2015 Genesis CdF 10, 2014 Cube Hyde Race, 2012 NS Traffic, 2007 Specialized SX Trail, 2005 Specialized Demo 8
The Rookie, I was looking at Shimano but wasn't sure which ones would be compatible with what and the shop descriptions weren't too helpful
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build