If you want to move your Blogger Blog to a new domain name without losing visitors, pagerank and avoid Google to penalize you for duplicate content there are a few steps to go.

Requirements: A wordpress blog on your bew domain.

1. You need to export your posts from Blogger and import it in your new Wordpress blog.
2. You have to redirect all the exported pages to the new domain.You can do that by pasting a code in the template.
3.Remove duplicate content

Read all the tips at webupd8.org