Moving apple tree

Afternoon all,
Within the next couple of months we're having our patio rebuilt and there are two small trees - one apple, one not sure! - that need to be moved. They are both about 8 ft tall (we inherited one tree and I planted the apple tree about three years ago so it's not huge but it is now established).
Given I have a window of around 8 weeks to move them is there a 'better' time within this window to consider moving them? The apple tree is about to come in to blossom - best to move now or once it has already produced all the blossom?
I know ordinarily you should move trees when they are dormant but I don't have that option unfortunately!
Thanks in advance...
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Bumping
Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.
Thanks Dove, but still no advice - will just have to go for it and cross my fingers...!!