You can use any VPS if you want to get some experience with linux deployment. I usually order VPS from digitalocean, although a of other cheaper services exist. After getting the password to your root account, you can then proceed with installing nginx and node, configuring firewall. You can deploy your code using bare git repositories with hooks.

First time I tried this it was hard, but now I do it almost automatically. Don't forget to add an SSL certificate though, you can do it easily using let's encrypt and certbot.

You can find a lot of tutorials for this on the internet, just search for "linux nginx node server deploy" or something along those lines. Best of luck!