Something else to consider is Cloudflare tunnels. They are free and quite handy.
Essentially, it creates a secure wiregiard connection between you and cf so you don't need to open any ports or have a reverse proxy on your side. Then, cf becomes the end point and where dns points.
Cf essentially hosts your reverse proxy for you and you so all the config on their site once you get the tunnel setup. The Cloudflared docker is all that I had to set up.
Its essentially what you are doing with the vps, but purpose built and free.
@operator
Cloudflared tunnels are great. No firewall ports to open.
I installed the Cloudflared docker, which is headless, and fed it my API key. Then Cloudflared creates a VPN between your system and theirs. Then, think of Cloudflare as the reverse proxy, you just configure it on the CF site instead of locally. No need for a reverse proxy on your side.
I've not done anything with auth on it as what I run I don't mind being public. If you still want to run a local auth, you can set it to hit your local reverse proxy instead and do it that way.
The benefits are you don't need to open firewall ports and your local IP is irrelevant so no need for dynamic DNS.