burst with (an emotion)
Of an emotion, to be so filled up with something as to be unable to contain it. I was bursting with anger after they fired me from my job. My kids burst with joy when we told them we were going to the theme park over the weekend.
choked with emotion
So overwhelmed with an emotion, either positive or negative, as to be unable to speak clearly or at all. I was positively choked with emotion by all the lovely speeches at my retirement party.
choked by emotion
So overwhelmed with an emotion, either positive or negative, as to be unable to speak clearly or at all. She was choked by emotion when she stepped up to speak at her mother's funeral.
mixed emotions
Positive and negative emotions that are experienced simultaneously and are often in conflict with one another. I've got mixed emotions about starting college this fall: on the one hand, I can't wait to start the next chapter in my education, but, on the other, I will be so sad leaving my friends and family behind.