puff up in WordNet English dictionary

1. to swell or cause to enlarge, "Her faced puffed up from the drugs"
   "puffed out chests"
   puff  puff up  blow up  puff out 
   
2. praise extravagantly
   "The critics puffed up this Broadway production"
   puff  puff up 
   
3. make larger or distend
   "The estimates were puffed up"
   puff up 
   
4. become filled with pride, arrogance, or anger
   "The mother was swelling with importance when she spoke of her son"
   swell  puff up 
   

puff up in English Wiktionary