You want to transfer your Blogspot Blog, that's Google's free Blogging platform, to your own custom domain, and your website is hosted with the LCN registrar, that is:
It's all a lot easier than I initially found.
I won't go into the ins-and-outs of why you want to make the change from Blogspot to custom domain because if you've got this far you've made the decision that you want to make the change.
Firstly I don't need to re-run through the whole procedure because here is a cracking page which explains How do I use a custom domain name for my blog?
Once you've got past these two stages:
1. Host my blog on a URL that I already own.
2. On a subdomain (foo.example.com).
We get to the nitty gritty, and this is where it differs with LCN registrar's and I reckon a few others as well. Where it reads:
"To get started, find the control panel on your domain registrar’s website. Locate your Domain Name System (DNS) settings, and find the field for "CNAME." Where it says Name, simply enter "www""
Well with LCN to transfer the Blogspot Blog you don't type in 'www', you type in 'blog' - it's that simple.
From there simply follow the instructions on the 'Blogger Help' page (above link). Your new Blog URL will then quickly look like this: