The names Kareem and Kareemah mean to be honorable, generous and hospitable.
The word Lateef in Arabic means gentle, amicable and good hearted. There are many variations to this name but the most common is that it is one of the names of Allaah subhaanhu wa taala. He is the Most Kind and Subtle, His actions are fine and subtle beyond our comprehension. He grants gifts to the needy and treats us with kindness without perceiving it.