Copy the data from the HDD to the new SSD, I would use rsync
This will work fine if the current HDD is some kind of “data-only” disk without your home and system.
If the HDD has also the system I do a new installation on the new SSD, mount the old HDD and then copy the data
If the HDD does not have the system but has your home I would follow the steps above but the copy of the home must be done using another OS.
Would be good if you can share a dump for you current setup, on the command line the output of “inxi -DP” (preferred), graphically, make a screen shot of Yast → Partitioner.