How to Transfer Your Lightroom Catalog to Another PC

Awesome video, works perfectly.

I currently use a laptop and i have the main catalogue, and backups, and images on the external SSD.
I'm soon getting a desktop PC which i want to use most of the time, and sometimes use the laptop with the same catalogue
What i want to do though is transfer the main catalogue from the external SSD to the new desktop PC for better performance, while keeping the images on the external SSD, along with the backups of the catalogue, but also occasionally use the external SSD on the laptop.
Is this possible to do or even beneficial?
I prefer not to store the images on the desktop nor the laptop