[SallyintNorth]

I don't see any exemptions for moving to grazing land in this

I suspect you would avoid pre-movement testing if the two premises are linked, which basically means the grazier treats the grazing land like part of their own farm.  I assume that the owner of the grazing would not then be able to move their own cattle on and off that land.

Where I say "suspect" and "assume" I have not done the research recently but from previous experience and what I have read, this would seem to me to be the case.  Anyone who is actually going to move some cattle should do their own research into the regulations which are current at the time (they get updated fairly frequently.)

[arobwk]

Thanks for the link SiN:  could they make it any more complicated ?! 
(Why that APHA publication wasn't listed on Gov.uk web pages that I landed on is beyond me.  BUT THEN, Gov.uk web guidance is, I find, hardly ever comprehensive !!