I bought a house where the garden was a mess. It looked like a new build although it was, in fact, 18 years old, but the grass and weeds were knee high and there was only one plant, a rose bush.
Two days after I moved in, the vendor suddenly knocked on the door and asked if she could take the single rose bush as it had been an anniversary present. I agreed as it made no difference.
Smintie I agree with what others have said that it's the wrong time to be moving mature plants/shrubs and I would allow just a couple to be taken with recompense for you. It depends on how many they are asking for, and how big a gap would be left behind.