puff_up
1. [ verb ] make larger or distend
Examples:

"The estimates were puffed up"

Related terms: inflate
2. [ verb ] to swell or cause to enlarge, "Her faced puffed up from the drugs"
Synonyms: puff_out blow_up puff
Related terms: swell puffer
3. [ verb ] become filled with pride, arrogance, or anger
Synonyms: swell
Examples:

"The mother was swelling with importance when she spoke of her son"

Related terms: act
4. [ verb ] praise extravagantly
Synonyms: puff
Examples:

"The critics puffed up this Broadway production"

Related terms: praise puff