Need some advice about my suspension

Could be your tires which become harder during lower temeprature. I have the same thing with my Michelin high speed summer tires and I know it's time to change over to winter tyres. I don't see anything else making your car stiffer; no shocks, no bearings -which produce a different sound/feling.

Ronald

Actually I just put on my winters, Toyo Observe G-02

I forgot to mention, when I turn right slowly I can hear some weird noise (like a squeky bed) and when I make hard right (slow) sounds like something really wrong (maybe like a broken bearng spinning or somehting).

Did not read this extra info when answering. This looks like another problem.

Ronald

sounds like something is worn there, could be top strut mountings, your car is taking the same force each time you hit a bump, you are just noticing it more because the worn component is transferring the shock through the body, its probably more audible too. you could jack each corner up and check for wear in wheel bearings, suspension mounts etc. unlikely that the shock absorber has siezed up, you would know if it had. and you would probably be upside down in a ditch somewhere too.