Most Linux distributions will come with Systemd. This is a great convenience for setting up long-running processes on your machine, but it's also useful for running short-lived tasks, like serving a website you're tinkering on.
For example, here's a script which starts a server in the background, with all the niceties of a systemd unit, like logging, status management, etc.
systemd-run --user --unit=python-http \
nix-shell -p python3 --command \
"python3 -m http.server --directory 8000" I'm assuming you're using Nix, because why wouldn't you?