On the Laravel News site they've posted a tutorial showing you how to create a CI process for deploying Laravel applications using the Codeship and Forge services.

Codeship empowers developers to efficiently test and deploy web applications with a basic command. Today, I want to demonstrate some of the platform’s features through testing and deploying a Laravel application.

They start the tutorial with some of the things you'll need to have set up prior to the process including a local instance of Docker, a DigitalOcean or AWS account and a Laravel Forge account. The tutorial then shows how to complete the process using this sample application:

• Setting up our Codeship project
• Setting up Laravel Forge
• Connecting Forge and Codeship

The article walks you through all the setup and configuration you'll need to get the process integrated and up and running quickly.