Ahh, I assumed you already had everything, including media at home. It might get messy if you consolidate, chance on not having all media at your disposal. There are many ways to accomplish what you want to do and someone more knowledgeable than me could probably be more helpful.
If it were that necessary for me and I was editing for extended periods away from work, I would bite the bullet and copy the project and all media to take with me. Upon returning to work i would replace the entire project file (very small file size) and I would only copy the new media created at home (based on dates) from my home drive back to my work media drive.
As I said, others may know a better way.
Ricky