Well it seems initially you are in a strong position, if they both want you and both own an equal share in your existing contract then they will each have to offer you something more than the other to keep you in their employ.
Somehow I doubt this will be the case (as an NHS employee I know GPs and they are not stupid when it comes to money), I think you need to take some employment law advice (possibly google that and you should find a forum or two) but I'd wait until the 'offer' is made.
No point in going off until you know if it's a good or bad thing, sit tight and it will come out in the wash.
The basics are a Tupee will involve all your current terms and conditions will go to your new job, I expect they will cease your contrcat possibly making you redundant and re-employing you if they are feeling generous or just asking you to switch to a new contract (more likely), either way don't jump to refuse or accept anything, read the offers through and digest it fully before you make any decision.