If you are reading this post then the site migration has completed successfully!
The performance on my old (free) webhost was becoming so painfully slow and troublesome that I finally decided to put my hand in my pocket and go for a paid webhosting service from Vidahost.
The WordPress migration actually worked quite well once I’d got my dumb fool mistakes out of the way!
Hopefully now I can upload new content without having to submit it 3 or 4 times.
My initial feel for the new host performance? Smooooooooooth! It just goes to show: You get what you pay for!