I would say "kávézó" is "a place where you can drink coffee". The same way you might say "eatery" for a restaurant or buffet or other place that serves food. But few restaurants would call themselves "eatery".
A "kávéház" is a nice "kávézó".
A betörő is quite literally someone who breaks into someone else's property. (Be-tör means "to break in".) I don't think "robber" covers that nicely, many "robberies" don't do much breaking. But then again, I'm not sure if "burglar" covers it either.