Be honest with them. If you have a good relationship with them they should be reasonable to work something out. Look at it this way, you must be doing something right if they came to ask you to learn parts of it.
This. OP, if they came to you to take over those aspects of the operation they clearly value you, and with the recent major shakeup they're not going to want to lose you.
Curious why it's an automatic that moving to another firm and keeping the same salary would require moving to a new city. You currently in a small town?
I'd talk to the partners, be upfront and honest with your reservations about the new responsibilities but at the same time make it clear you're a team player and will do what's in the best interest of the firm for the short term. In the meantime, I'd polish up the resume and start looking, if you really would be ok with a move.
Seems like you're in a pretty good position with regards to job security, and in today's climate especially, that's what comes first. I wouldn't do anything to risk that if I were you.