1. A non-transitory computer-readable medium having stored contents that configure a computing system to: receive, by a configurable network service associated with the configured computing system, a request by a first client to configure remote access from a first remote location to a first computer network at a second location, wherein the first computer network is provided by the configurable network service to the first client using computer systems of the configurable network service at the second location, and wherein the request is programmatically received from the first client via an application programming interface (API) that is provided by the configurable network service for access by remote clients via programmatic requests sent over one or more intervening networks; and respond, by the configured computing system, to the received request by initiating an acquisition of a hardware device for use at the first remote location and initiating providing of configuration information to the first remote location for use with the hardware device, wherein use of the hardware device with the provided configuration information at the first remote location initiates establishment of the remote access to the first computer network at the second location from one or more computing devices at the first remote location.