At four metres the tree is getting rather large to move, so there's no guarantee that it would survive.
The best time to move anything is when it's dormant, which would be when the leaves are dropping in autumn. You will need to take an enormous root ball to keep its survival chances as good as possible. Once re-planted, you will need to stake the tree with a long stake, about six foot tall, to keep it still whilst it's re-establishing; you will also need to water it continuously over the next year to allow it to settle.
You will also need to prune it, but since cherries can't be pruned in winter, you will need to do that this summer, cutting back the branches by about a half.