yes, you need to explicitly configure the different k8s providers for each cluster and pass those providers to relevant resources

Is there an example / tutorial available?

almost every pulumi resource has args and options. Options generally contain some pulumi stuff (like

parent

and

dependsOn

etc etc) and may contain platform-specific things (like region for e.g. aws provider or in this case kube cluster config) You can create a provider from kubeconfig like

const clusterAProvider = new k8s.Provider("foo", {
            kubeconfig: clusterAKubeConfig,
        }, )

and then give it to your resource like

const service = new k8s.core.v1.Service(`foo-svc`, {
            spec: { <svc spec> },
        }, {provider: clusterAProvider})

there even may be some syntax sugar to help you, e.g.

eks.Cluster

object already has the

provider

property