Change Website to New Host - WordPress Site

I have a WordPress site set up and running the last 2 years on a web host but their server is slow and I want to move to a new host. I now need someone to migrate the site over to the new web host. This is a WordPress site and the MySQL database is somewhat big at about 165 megs. Other than that, this should be a fairly quick and easy migration, in fact, I have already uploaded most, if not all, of the files with exception to the database. I would like this done asap and thereafter I need to have the theme updated, but this can be a seperate job. For now, please bid on moving the site. Thanks!