Moving blog posts

I am currently in the midst of updating my blog, which involves changing the domain name, expanding the site so that it’s not just a blog and many other things. As part of this, I would like to move the blog posts that I have already written on my old site to my new site, as these posts will form one section of my new site. It will basically be moving the posts from my old WordPress set up to a new set up under a new domain.

Is that possible, and if so, how do I go about doing it?

Thanks