Downloading mysql database

I am brand new at this and I am trying to move my website from one hosting company to another. I have already downloaded the complete website and transferred it however I have found that I need to now download mysql database and I have no idea how to do this. Can anyone or better yet will anyone help me please? I know someone can and hope that someone will take the time to explain this to a newbie. Thanks mrglueman

The wiki has some instructions. You can pretty much directly transfer it over using Command Line, but there are other good options as well:

If you’re transferring from a CPanel host, you may be able to have the DreamHost Panel do all the work for you: