As a fellow Newbie, I have just installed Wine.
Here is how I did it (no offense to the local Gurus).
I assume you have updated and upgraded all your Cinnamon files via your Terminal.
Open your Synaptic Package Manager
Click on the Search
in the new popup window.
Click on this new window's Search
You might have to slide down the window containing all the packages since the "w" in wine will be at the bottom of the list.
Chick on the S
column next to wine
You'll want to install all the associated packages.
You should be able take it from here.
Sorry, if this procedure is a little off. My memory is not what it used to be.