Export a free wordpress blog

I have a free WordPress blog today (teamprofit.wordpress.com) that I want to host elsewhere. WordPress recommends Bluehost. I did not quiet get a yes from Bluehost about the possibilty of exporting all my stuff from the recent blog to the new one under a separate domain address hosted by them.

I want to use the WordPress platform and I do not want to start all over again, so my question is:

Is that doable, and easy to set up? (Bluehost or any other hosting company)

Thanks

Gunnar, Sweden