The term "pulling around" denotes movement, often in a playful or teasing manner. The antonyms for this phrase could be stationary, unmoving, or still. Other antonyms could be serious, focused, or professional. When someone is "pulling around," they are generally not taking things seriously, so antonyms could also include solemn, grave, or somber. Additionally, antonyms could be literal opposites such as pushing, dragging or carrying, which would imply a different manner of transportation. Ultimately, the choice of antonym depends on the context and tone of the situation in which the phrase is used.