Web services are self-contained distributed services enabled by web service application programming interfaces (APIs) using numerous protocol and middleware types. Web service API evolution encompasses changes to a web API made during the lifetime of a web service. Web clients, such as mobile applications, must continuously adapt to breaking changes in the web API offered by web services. This adaptation is currently performed manually by web client developers. This paper presents an automated process for the adaptation based on web service API type-independent evolution patterns. These patterns enable the classification and resolution of web API changes in the context of continuously changing web API standards, protocols, and middleware types. Migration guides enable the generation of stable client libraries that replace the traditionally performed manual client-specific migrations. The process is instantiated using EVOLution (EVOL) Migrators, generating Swift-based client libraries for web clients. We demonstrate how migration guides can be automatically generated using OpenAPI specifications or based on web services developed using the EVOL framework. We build two Migrators using a resource-based and a remote procedure call-based web API type. We validated the applicability of these Migrators to 13 web service version increments featuring a total of 3896 changes. The process correctly identified 86.1% of the changes, including 1132 breaking changes. The breaking changes included 424 unsolvable changes that required manual migration guide improvements by the web service developers at predefined extension points.