Definitely go with K3s instead of K8s if you want to go the Kubernetes route. K8s is a massive pain in the ass to setup. Unless you want to learn about it for work I would avoid it for homelab usage.
I currently run Docker Swarm nodes on top of LXCs in Proxmox. Pretty happy with the setup except that I can’t get IPv6 to work in Docker overlay networks and the overlay network performance leaves things to be desired.
I previously used Rancher to run Kubernetes but I didn’t like the complexity it adds for pretty much no benefit. I’m currently looking into switching to K3s to finally get my IPv6 stack working. I’m so used to docker-compose files that it’s hard to get used to the way Kubernetes does things though.