moving blog to sub domain

Hi, whilst I’ve searched the forums and followed the link to the wordpress tutorial moving wordpress it’s too broad and actually doesn’t tell me what I want to know….

what I want to do is move my main site to a sub-domain: my main domain (w43w.com/) is currently home to my blog (conceptual reflections).
I want to ‘free the domain (w43w.com) and move the blog to a sub domain (conceptual-reflections.w43w.com/)
thus the only thing that will change is the addtion of ‘conceptual reflections’ to the ULR’s.
I have a rough idea of what the steps are.. but only a rough.
Without a tutorial I believe can still do it… just it’s a painstaking method but I could (I believe) simply build a new site.. then copy the posts and pages from the old site to the new. Once the content is copied I apply redirects.
There are advantages to this approach… the first is the process of moving creates an oportunity to ‘SEO overhaul’ the site and to improve/add new internal links (An old post can now be connected a future). Similarly as a blog doesn’t always end up as one intended… it’s a chance to restructure categories, tags (and custom taxonomies..if you use them).

I believe I have two options on where to do this:
1) with my host and
2) on a local install (which I still have to re-set up after crashing my PC last year) .

Sadly the ‘moving wordpress tutorial’ is just too broad and brief for me. It barely covers each of the possibilities (and lets face it there are just four?: new host, new domain, sub-domain to main domain and main domain to sub-domain) Moving an entire site is a significant process (at least my head thinks it it!) and so each possibility deserves it’s own detailed explanation.

So are there any ‘short-cuts’ or is it just easier to manually move content to a new site. then once it’s done and the site is live to set up redirects for all the old pages to the new?