trouble oneself vs bother

trouble oneself is not a noun while bother is a noun.

Word	Noun	Adjective	Verb	Adverb
trouble oneself	No	No	Yes	No
bother	Yes	No	Yes	No

As verbs, trouble oneself and bother are synonyms defined as:

trouble oneself and bother: take the trouble to do something; concern oneself

Other synonyms of trouble oneself include inconvenience oneself, trouble.

trouble oneself (noun)	bother (noun)
	something or someone that causes trouble; a source of unhappiness
	an angry disturbance

trouble oneself (verb)	bother (verb)
take the trouble to do something; concern oneself	cause annoyance in; disturb, especially by minor irritations
	make confused or perplexed or puzzled
	make nervous or agitated
	intrude or enter uninvited
	take the trouble to do something; concern oneself
	to cause inconvenience or discomfort to