Different types of Laughter

giggle          to laugh repeatedly in a silly way because you are amused, embarrassed, or nervous

snigger        to laugh unkindly and quietly, especially at something that is not meant to be funny 

chuckle       to laugh quietly, especially because you are thinking about something funny

roar/howl    with laughter to laugh very loudly because you think something is very funny

be in hysterics      to laugh uncontrollably

crack up informal           to suddenly start laughing a lot