Well, easiest way (probably) without the need to email any MYSQL tables' files to your provider will be to back up all of your databases (as well as its contents) and restore em in your web server (in the US).
To back em up, use MYSQLDUMP.
If you are using WINDOWS OS, use MSDOS and go to mysql/bin folder and type this:
mysqldump -u user -p database > backup.sql
Take the file and upload it to the web server.
Remotely access the web server through the command line and restore the database by typing the following command
mysql -u user -p database < backup.sql
HTH.