I recommend using .htaccess. You only need to add:
DirectoryIndex home.php
or whatever page name you want to have for it.
EDIT: basic htaccess tutorial.
1) Create .htaccess file in the directory where you want to change the index file.
. in front, to ensure it is a "hidden" fileEnter the line above in there. There will likely be many, many other things you will add to this (AddTypes for webfonts / media files, caching for headers, gzip declaration for compression, etc.), but that one line declares your new "home" page.
2) Set server to allow reading of .htaccess files (may only be needed on your localhost, if your hosting servce defaults to allow it as most do)
Assuming you have access, go to your server's enabled site location. I run a Debian server for development, and the default site setup is at /etc/apache2/sites-available/default for Debian / Ubuntu. Not sure what server you run, but just search for "sites-available" and go into the "default" document. In there you will see an entry for Directory. Modify it to look like this:
<Directory /var/www/>
Options Indexes FollowSymLinks MultiViews
AllowOverride None
Order allow,deny
allow from all
</Directory>
Then restart your apache server. Again, not sure about your server, but the command on Debian / Ubuntu is:
sudo service apache2 restart
Technically you only need to reload, but I restart just because I feel safer with a full refresh like that.
Once that is done, your site should be reading from your .htaccess file, and you should have a new default home page! A side note, if you have a sub-directory that runs a site (like an admin section or something) and you want to have a different "home page" for that directory, you can just plop another .htaccess file in that sub-site's root and it will overwrite the declaration in the parent.