Installation on Cloud Provider
Cloudron
Gitea is available as a 1-click install on Cloudron. Cloudron makes it easy to run apps like Gitea on your server and keep them up-to-date and secure.
The Gitea package is maintained here.
There is a demo instance (username: cloudron password: cloudron) where you can experiment with running Gitea.
Vultr
Gitea can be found in Vultr's marketplace.
To deploy Gitea to Vultr, have a look at the Vultr Marketplace.