How to sync two profiles separately for use on multiple devices without mixing up the data between the two profiles?

I have two profiles, one for work and one for my personal in the same account. I need to sync both of my profiles but do not want the information in the two profiles mixed together. I need to sync the information as I have a desktop and a laptop that I use for work, and mobile devices and another laptop for personal matters. If I am on work travel and need to access my personal profile on my laptop (because schlepping two machines is silly!), I want to switch my profile to the personal one. then when I am done I want to switch back to the work profile. How can I do this and is firefox set up to do this?