Do you guys have any suggestion on how to be able to change my embouchure very fast? For example, in one piece i am having to play middle c, then jumping up to an e (last space on the treble clef). Sometimes my embouchure can`t keep up and my sound quality lowers and i dont properly play the higher notes.

I have the same difficulty , but I guess that theyour problem is not embouchure, but air pressure.
I started to play trumpet just in december, but I realized that when you jump from low notes to high ones, it`s necessary to modulate stomach pressure to have a very fast air stream. When you have a correct breathing, emouchure and toungue position come by themselves in a correct way.
I hope that my opinion may help you.
Good luck

Hi,
Marco is spot on the money. Keep your embouchure the same, you should be able to cover the full range with just more pressure. Hard work, but keep the arm muscle pressure out of the equation

train your chops:
low tone with an aah sound and high tone with an eee sound. practice this in the `arban way`: repeat c-e (bottom) bindings and continue this as if your playing a scale: d-f, e-g, etc.
search for `fitness for brass` `strong chops` etc. and you`ll find lots of advice on the net.