Ok, so after some research... Here is the solution that worked for me:
First, download SQL Server 2014 Express, from Microsoft (Or whatever version/instance you prefer)
Microsoft SQL Server 2014 Express
Next, set it up correctly by watching this very helpful YouTube Video:
YouTube SQL Server 2014 Express Setup Video
Note: You will also need a version of SSMS, which you can also do/figure out by watching the YouTube video.
Then, on your Azure account (or wherever your Database is that doesn't allow you to create a .BAK
file is, do the following)
Connect to it and navigate to Tasks > Export Data-tier Application.
Save that to your computer. (That will give you a .bacpac
file.)
Next, connect to your "local" SQL Server instance.
Then, Import data-tier Application. (Will need the .bacpac
file)
Lastly, (after fully imported) you will now have the option to do Tasks > Back Up
This will allow you to save a local file as a .BAK
file!
Then, just upload this file to your new hosting platform.
This worked like a charm for me. :-)
Hope this helps someone else.