As wireless networks and mobile devices are becoming ubiquitous, mobile users are increasingly requiring access to application services that can adapt to their context as they move to new locations, for example, in their corporate or partners' networks. The quality-of-context information (QoC) used by these application services is a determinant factor in the adaptation process. As application services typically receive context data from several context services, the selection of suitable context services is of paramount importance in providing mobile users with tailored services. In this paper, we describe our proposed framework for context management and our proposed QoC-based algorithm for the selection of context services. The algorithm takes into account the QoC requirements of application services for each context information to which they subscribe with the Context Broker, on which the framework is relying for context management.