A portable coordinate measuring machine (PCMM) can have one or more rotatable grip assemblies to provide a location for an operator to grasp the PCMM. A rotatable grip assembly can include a rotatable sleeve, a grip portion disposed over the sleeve, and one or more retaining rings to prevent the rotatable grip from axially sliding along one or more members of an articulated arm PCMM. A PCMM can include two rotatable grips to allow an operator to grasp the PCMM with both hands for positioning and repositioning operations. One rotatable grip can be positioned on an arm member most distant the PCMM base, and another rotatable grip can be positioned on a housing at least partially encasing an articulating joint assembly coupled to the arm member most distant the PCMM base. Other numbers of and locations of rotatable grip assemblies can be used in PCMMs.