Almost any of the big boys will move it, provided you fix the thing securely to a standard pallet. Try TNT.
BUT! These shifters expect fairly easy access for loading and unloading, typically restricted to a firm surface their pallet truck will get over safely. They don’t do steps, upper stories, narrow gaps, or soft ground etc. And the driver may not be familiar with machine tools, which have a nasty habit of falling over because they’re top heavy!
None of this was a problem to me – easy access from main road, to a flat firm driveway, leading directly through a garage door. Might be to a chap living down a lane, with gravel driveway, leading to an alleyway, and back garden shed. Landylift were helpful at the latter case, whereas an ordinary delivery service would leave the pallet nearby! Do you need help with the installation? I didn’t: machine arrived on pallet, they easily put it where wanted to remove the packaging and had space for my engine crane to position the thing inside the workshop. Others have to get smart: rollers, temporary paths, taking machines to bits etc. Not too difficult with experience, but intimidating and potentially dangerous the first time a heavy unstable object is moved.
I don’t recall anyone like Landylift who offers a long-distance service. Hope there is one!
Dave