[PHP] phpmyadmin - moving data from one database to another

[Phil Schwarzmann]

The lazy and worthless a-holes at www.infinitehost.com (my host server)
are forcing me to move all my MySQL data from one server to another
because they are too dumb to fix it.
 
I need to use phpmyadmin to move the data but i'm not %100 sure how to
do it.  There are some "view dump" commands.  It looks like I can
somehow download all the data and structure to my local computer, then
upload it to the new server.
 
Anyone have any info on this?
 
THanks!