Blogger has added an Import / Export feature in Blogger that lets you backup your blogger blogs to the local hard drive as an XML file.
The XML file will have all the articles that you have written plus the reader comments. Now WordPress too has an Import Blogger feature but it ignores the comments so this latest Blogger feature will prove very useful.
To export your blogger blog, go to http://draft.blogger.com, login with your Google Account and use the Export link from the Settings | Basic tab. This would just save your blog to a text file, the blog would still remain on Blogger as it is. Full instructions here.
If you chose to import this XML file into a new (or existing) Blogger blog, the new posts remain unpublished by default though you can also republish them as soon as Blogger is done importing the file.