Cut and pasting your PostgreSQL folder will not work. To get things transferred you can backup and restore your existing database(s):
Guide: Backup & RestoreWhen the backup file has been created you can then uninstall PostgreSQL and then install it on your SSD using the same PostgreSQL password as you are using now ('dbpass' by default):
https://www.enterprisedb.com/downloads/ ... -downloadsPostgreSQL v9.6 is our recommended version so if you are using an older version of PostgreSQL install that one. If you are currently using a newer version of PostgreSQL (v10+) then you will need to use that since it is not recommended to restore a database created in a newer version of PostgreSQL into an older one.