Moving fruit trees.

We want to move houses and have an eye on a place with a very much bigger
garden than we have now.
Problem is that our 2 cherry trees are possibly too established to dig out
and replant. I have had no luck with google.
They were planted 3 years ago, bare rooted and are now aprox.3m(10') high
with 41mm (1 3/4") trunk.

Can I do this?