puff up

verbs

make larger or distend
"The estimates were puffed up"
is a type of (narrower)
exaggerate or make bigger
"The charges were inflated"
to swell or cause to enlarge, "Her faced puffed up from the drugs"
"puffed out chests"
become filled with pride, arrogance, or anger
"The mother was swelling with importance when she spoke of her son"
praise extravagantly
"The critics puffed up this Broadway production"