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K3s is a Kubernetes distribution. k3d spins up docker containers running K3s, mostly used for development.

does it mean k3d is easier than k3s?

Easier to run a cluster on your laptop probably.

all k8s commands are valid in k3d?

Yes, they are valid in K3s, which k3d gives you

any tutorial available for k3d?

Did you check https://k3d.io yet?

I did, but the docs is hard for me

And https://github.com/k3d-io/k3d and https://github.com/k3d-io/k3d-demo

I just want to learn k8s, through k3d

k3d cluster create my-test-cluster

& have kubectl & helm & whatever else you want to test/play with. The above command will create you a single node test cluster. You can always delete it and recreate the cluster with other settings if you need for other testing.

K3d is k3s in docker containers. You can run many applications inside of containers including k3s itself. K3s is a "distribution" of kubernetes. Kubernetes is a collection of separate programs such as kube-api, etcd, kubelet, kube-config-manager and so on.... K3s packages versions of all these programs.

Is it easier?

Neither k3d is a way to run k3s. It's a lot like upstream 'kind' (kubernetes in docker). But k3s is packaged smaller than upstream so using k3s is better for local development.