micky explained :
I don't need a new car now but I will and I want to understand
terminology.

I want a car with soft ride so I will not feel the bumps.

One article refered to base, touring, performance and R/T (or Super
Sport?) suspension.

And I thought that was the key, but the topic went to body roll. I'm
happy if I don't lose control on turns, but that seems unrelated to not
feeling the bumps and that is my goal.

Is it the bumps as transmitted to you by the seat which concerns you,
or is it the vibrations through the steering wheel?

It will always be a trade-off between comfort and handling no matter
what you do.

So if those 4 words are not measures of level of soft ride, what do I
look for?

This might help:

https://www.generalspringkc.com/smoo...ide_s/3147.htm