I’m still getting used to all the different changes for Unreal 4 from 3 and I wanted to know how would I go from one computer to another with my level since the package system is gone?

The very best way is to use version control. Then you just check your project out on a new computer. Otherwise, just copy the whole project over. If it’s content only just get all the directories with your assets and put them in a new project of the same type. Here’s a link to a blog on setting up …