"I will work at the university starting April 1."

Translation: 四月一日から大学でつとめます。

[Superspecificity]

What is the exact meaning/connotation of つとめます? how's it different to "仕事をする" or "働く"?

[Bryan521559]

つとめる means to work for. 仕事する has a similar connotation. 働く means something more like to work.