Do the following;
Export your map in map-maker. This will create shareable files.
All the files you exported will be found in FH>Exports. Select all the files that map-maker said it exported and copy them.
Create a new folder in your documents folder. Name it what you want your map to be called.
Paste all the copied files into that folder.
If you don't have it already, get WinRar, it's a free program that zips up files for you. Go to Google and type in "WinRar free trail" and look for the soft32 website. That one is a safe and virus-free version.
Once you've got WinRar downloaded, install it.
Now pull up your documents and right click the name of your map folder. Hit "add to archives" The icon should be three little books.
Then you select to make it a zip folder. Let it do that and it'll create a threebook icon of the map folder name in your documents folder. This will be the file you want to upload to MediaFire.
Feel free to post again if you don't understand.