Use and utilise are quite similar. Utilise is a lot more formal and means to make practical and effective use of something. Utilise is a lot more restricted in use than use. It can't mean 利用。 I've put the dictionary entry for manipulate below. The second more negative meaning is more common.
1.
handle or control (a tool, mechanism, information, etc.) in a skilful manner.
"he manipulated the dials of the set"
synonyms:operate, handle, work, control, use, employ, utilize
"the workman manipulated some knobs and levers"
2.
control or influence (a person or situation) cleverly or unscrupulously.
"the masses were deceived and manipulated by a tiny group"
synonyms:exploit, control, influence, use/turn to one's advantage, manoeuvre, engineer, steer, direct, guide, twist round one's little finger, work, orchestrate, choreograph
"the government tried to manipulate the situation"