THESAURUS
puff up
add to, adulate, aggrandize, amplify, apotheosize, augment, balloon, belaud, bepraise, bless, bloat, blow up, boast of, brag about, broaden, build, build up, bulk, bulk out, celebrate, crescendo, cry up, deify, develop, dilate, distend, emblazon, enlarge, eulogize, exalt, expand, extend, extol, fill out, flatter, glorify, greaten, hero-worship, hike, hike up, huff, idolize, increase, inflate, laud, lionize, magnify, make much of, overpraise, panegyrize, pay tribute, porter aux nues, praise, puff, pump, pump up, raise, rarefy, salute, snowball, stretch, sufflate, swell, trumpet, tumefy, up, widen
ROGET THESAURUS
puff up
Vanity
VB
be vain, be vain of, pique oneself, lay the flattering unction to one's soul, have too high an opinion of oneself, have an overweening opinion of oneself, have too high an opinion of one's talents, blind oneself as to one's own merit, not think small beer of oneself, not think vin ordinaire of oneself, put oneself forward, fish for compliments, give oneself airs, boast, render vain, inspire with vanity, inflate,
puff up, turn up, turn one's head.