phpMyAdmin provides a GUI for this within the structure view of a table. Check to select the column you want to move and click the change action at the bottom of the column list. You can then change all of the column properties and you'll find the 'move column' function at the far right of the screen.
Of course this is all just building the queries in the perfectly good top answer but GUI fans might appreciate the alternative.
my phpMyAdmin version is 4.1.7