Q.What Can I Do To Help My Cherry Laurel Trees?
I fear the clay soil it too wet / dense for them. Would it help to dig them up & replant them after putting drainage in?

Certified GKH Gardening Expert
You may want to try amending the soil if you're going to dig them up. Here's an article with tips:
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm
This article describes how to dig up a mature tree: https://www.gardeningknowhow.com/ornamental/trees/tgen/moving-mature-trees.htm