"Fine gestures" can be replaced by several synonyms, each carrying a unique connotation. "Elegant movements" suggests poise and grace, while "graceful gestures" emphasizes fluidity and beauty. "Refined actions" implies sophistication and polish, while "delicate motions" carries a sense of fragility and subtlety. "dainty maneuvers" conveys a sense of precision and intricacy, while "precious postures" suggests a preciousness in the gestures. Ultimately, the choice of synonym will depend on the specific context and desired tone. However, in all cases, synonyms of "fine gestures," will convey a sense of excellence and artistry in physical movement.