I can't see a Sax messing with your embouchre much.
I don't know why you'd want to play a "reed" instrument but to each his own.
As for your progress with the trumpet; I'd remind you that the trumpet is a very demanding instrument. With all the pros and pro-like amateurs on this board you'll want to be careful not to come accross as "to cavalier" some might think that what your really saying is, "I've mastered the trumpet now on to something else!"
I use to goof around in High school with a friend of mine who was a sax player. I could play his instrument but he could not produce anything out of my trumpet. So it should be easy for you to start to play.
my .02
