How to Export SQL Server Database To A File For Later Import To Different Computer
I upvoted the comment by @Alex K. as this, I believe, is the easiest way of accomplish what you want. Backup the database, when asked copy the .bak file where you think is better for your needs, maybe even you can copy it already in a place where the other PC has access. Then do the opposite on the other SQL Server instance on the other PC, restore the database from the .bak previously saved.

Here is a link to a detailed description on how to backup the database using SSMS. 

And here how to restore using the SSMS.