My girlfriend is having some troubles with her road bike: she complains the gearing is too heavy. At first I thought "maybe you need some more training
We live in a place that's not flat at all, so now I understand her struggle.
BTW, cassette is 8gears 11-25, crankset is 52-42.
After doing some more research I learned the cheapest way to improve this situation is to simply replace the cassette, a task I know I can do! (In truth, it would be great to install a triple cog crankset, but seems like too much hassle.)
So the problem is that the derrailleur's brand is unrecognizable, so I have no idea if it will be ok to go for a 32T cassette (30T could also work for her). I've read that you need GS derrailleurs for 32T cogs, but in my ignorance it seems like that's the case for 10+ gears (??). Because the shimano Claris or SORA 8g SS seem to accept up to 32T.
Is there some way to understand how big can I go, before actually buying the part?
A second question is: If it works, will I need a longer chain? I've read that as long as the new cassette is 8gears it should be fine. Tried to take a picture of max slack in biggest cog (rear and front) configuration.
I don't mind replacing cassette, derailleur and chain, but I'll probably need some new tools for the chain :\ Preferably would just replace the cassette and hope things get sufficiently light.
Some pictures:



front derrailleur says microshift, but I suspect it's unrelated to the rear one.

Hope I made myself clear!
Thanks