Logical schema development and migration tool for different physical schema available including triggers and stored procedures?
Last time I have used it (but that's a long time ago) Sybase PowerDesigner was able to handle triggers and procedures for all supported DBMS.

Looking at the current manuals, that still seems to be the case. 

http://infocenter.sybase.com/help/topic/com.sybase.infocenter.dc38058.1600/doc/html/rad1232020719541.html

Although I don't see MySQL mentioned there.