If I understand the situation correctly, you have one laptop. It goes from home to work and back again. You have two drives. One at home, one at work. They always stay in their places and don't move from place to place. Home drive stays at home, work drive stays at work.
If that's correct, I would recommend simply making two Libraries: One for home, a second for work.
File > Library > Library Manager > Add Library
Import your files from your work drive into a Library called something like "work", or whatever makes sense to you. Import your home files into Main, or make a new one called "home" or something. When you go to work and connect the drive, switch to that Library: File > Library > (Choose the name of the work Library)
Same thing when you get home: Connect the drive, then: File > Library > (Choose the name of the home Library)
That way they stay 100% separate. No overlap, no shared data, etc. If you have Views and stuff that you want to replicate, you can do that too, with some additional steps.
Brian.