I've also used Landylift Steve, and I'd certainly recommend him if his location suits what you need moved (the machine I had moved, happened to be 30minutes south of him, and I'm about 4hrs North, so his location worked out well).

If it's a reasonably local move, it's worth searching for local lorry crane/hiab companies, as there are usually a few local companies, and some owner operators nearby. Main thing is to make sure access is good so they just need to rock up, load the machine, then drop of it off at the destination.

If you need it rolled into a specific position, or it's not a straightforward lift and shift, then you need to search for machine moving companies, who will charge accordingly.