I deal with cgnat on my 2 isps at home. Install tailscale on your vps and your router at home and then on your router you can share subnet devices over your tailscale network. Install a reverse proxy on your vps.

If set up correctly you can route a human readable web address (jellyfin.example.com) to your vps static ip address and then to, for example, a docker container with local address 192.168.100.1:8096, via reverse proxy.