ways of laughing

chortle: to laugh loudly with pleasure or because you are amused
Gill chortle with delight
reírse alegremente

chukle: to laugh quietly

giggle
: to laugh in a silly way because you are amused embarrassed or nervous. If someone giggles, they laugh in a childlike way, because they are amused, nervous, or embarrassed.
reírse tontamente
reírse con una risilla sofocada

grin: to smile widely
He was grining from ear to ear
sonreír

guffaw: to laugh noisily or loudly.
They all guffawed at his jokes
reírse a carcajadas

snigger: to laugh in a quiet unpleasant way, especially at something rude or at somebody`s problems or mistakes.
If someone sniggers, they laugh quietly in a disrespectful way, for example at something rude or unkind.
What are you sniggering at?
reírse con disimulo

titter: to laugh quietly, especially in a nervous embarrassed way.
reírse disimulada y tontamente