Advice on changing dampers c class kompressor sport

[Marcus1212]

I have c class w204 2009 180 kompressor

I find the ride rock hard and when driving over small rd divets or manhole covers the car feels like it crashes into the bumps and absorbs nothing. Making life for myself and passengers pretty unbearable.
We can't take our young baby out as she ends up crying due to harsh ride.

So my question is if I replace the dampers on the car will that help the ride quality and absorb some of the road issues.

I recently drove an Audi A3 and the suspension was heavenly if honest.
Not saying I will get the smoothness in my car but I'd take any level of passenger driver increased comfort.

Any advice what I can do...