My bike has a CS-HG500-10 cassette which has reached its EOL after 7400 km (I didn't think that changing the chain, unless absolutely necessary, was something good). It's the 11-34 version, I-CSHG50010134.
Is it possible to replace it with an XT cassette, like the Shimano XT CS-M771-10, I-CSM77110134?
Also, could I replace it with an 11-36 version, instead of 11-34, without changing anything else? That would make it a bit easier if I'm on a steep climb, right? Or would it not be beneficial?
Both require the same CN-HG95 chain, which indicates that they're pretty much compatible.
Or would anyone recommend against that switch from CS-HG500-10 to CS-M771-10?
What tools do I need, to be able to replace the old one?
The reason I need to change the cassette is because I replaced the old chain with a new one, and that new one was constantly some sort of jumping when I put a bit stronger pressure on the pedals. At first I thought that I somehow misaligned the gears, because I did a thorough cleaning of the bike on that day, but all the attempts to get that jumping fixed failed. Then I realized that it may be because the length of the new chain was shorter, it may be that the cassette became worn out too much. I had the old chain in my backpack, so I replaced the new one with it and the problem went away.
The chain has 108 segments and this is how they compare in length due to wear: