Restoring the database backup is really the easy part. And as long as all your Photos reside on a single remote volume (USB-attached, SAN etc.) it’s all that needs to be done. Else, check out PhotoLab transfer to new MAC
If, like many, your photos are in a subfolder of your home folder, things get complicated and under no circumstances will PL be able to seamlessly work an image on multiple computers. The databases don’t sync and they cannot be relocated by DxO features on Mac. Think of Projects, History, Keyword Lists etc.