Beverage holders adapted to attach to the upwardly extending arms of the handle assembly of a wheeled piece of luggage are described herein. The holders are adapted to twist and pivot when holding a cup with a beverage contained therein to maintain the axis of the beverage cup in a position generally orthogonal with a flat ground surface. The mechanism permitting the pivoting typically comprises a pair of opposing suspension arms that are fabricated of an elastomeric polymer that has sufficient tensile strength to support a beverage cup filled with a beverage but also has a sufficiently low flexural modulus to permit the cup to pivot when the angle of the handle assembly relative to the ground is changed.