EKS 1.24 Upgrade deprecation of docker as container runtime

Cluster information:

Kubernetes version: 1.23
Cloud being used: (put bare-metal if not on a public cloud) AWS
Installation method:
Host OS:
CNI and version: amazon-k8s-cni:v1.11.3
CRI and version: docker 20.10.17

I am looking for some guidance on the cluster upgrade.

I will be upgrading the EKS cluster to version 1.23 but want to move to containerd runtime before it is removed in version 1.24.
I would like to know what all places would the impacts be, I am aware the eks node container runtime needs to be updated to containerd or CRI-O runtime supported by EKS 1.24.

Along with this I can that we have volume mounts at host path /var/run/dockershim.sock for dockershim on each CNI pod, do I need to update this as well? If yes what is the procedure to update it?

Other than this is there any other place I should be looking for deprecation of docker as runtime in the cluster?