break or vacation

休み(やすみ) Could be anything from a short break to summer vacation – it all depends on the word before it.   $$$
 
休憩(きゅうけい) Break at work (昼休み is actually a type of きゅうけい) OR break from studying/training. Just long enough to eat some food and stretch – usually 15 minutes to an hour.
 
休日(きゅうじつ) A holiday – Christmas, Arbor Day, etc.
 
休暇(きゅうか) Long vacation from work (maternity leave, 2-week vacation to Barbados, etc.)