Embodiments of the invention are directed to a beverage mixing apparatus which may be used to prepare alcoholic or non-alcoholic beverage combination cocktails. In one embodiment, the beverage mixing apparatus includes an upper assembly capable of supporting a plurality of tapered vessels having a first size and a lower assembly capable of supporting a plurality of tapered vessels having a second size. The upper assembly includes a handle assembly which functions like a plunger to submerge and release the plurality of tapered vessels having a first size into the plurality of tapered vessels having a second size when force is applied thereto.