I'm fed up with this dull daily routine.

Literal

Every-day [possessive-の] monotonous life [topic-には] fed-up.

暮らし means 'lifestyle / daily living' with a personal, warm flavor — distinct from the more clinical 生活. うんざり is a 擬態語 (state mimetic) for the feeling of being fed up or sick of something through repetition. The には here adds contrastive force — 'as for this monotonous life' — emphasizing the speaker's exasperation.