deep, good | loud

give, let out
She gave a loud sniff of disapproval.

hear | get, have, take
to get a sniff of fresh air

between ~s
‘I''m sorry,’ he said between sniffs.

with a ~
‘I''m fine,’ she said with a sniff.

~ at
The dog had a good sniff at the bushes around the garden.

a sniff of disapproval

loudly
She wiped her eyes and sniffed loudly.

deeply | a little | carefully, delicately | appreciatively
He sniffed appreciatively. ‘Smells delicious. What is it?’

disapprovingly, disdainfully, disparagingly | suspiciously | back
The woman sniffed back her tears.

at
The dog sniffed at his shoes.