For my own outward-facing servers, I did everything from within the built-in server software itself, except managing virtual hosts, for which task I used VirtualHostX.

The best tutorial I know for configuring Mavericks for web server use is done by Charles Edge, at his site, Krypted. I followed this same process essentially, and thus far, I've seen no issues since deployment.

Take a look at your hosts file, you should have entries in there for your localhost and local configuration. The hosts file is in /etc, so the best way to open it is by using Terminal and this (read-only) command:

open -a TextEdit /etc/hosts

You should see an one or all of these for localhost there like:

127.0.0.1   localhost   
::1         localhost
fe80::1%lo0 localhost

127.0.0.1 is your machine (aka localhost).

You can add other IP addresses from your local network to route domain names to a local development folder to the hosts file. For example, mine has custom entries from old projects like:

10.0.10.111     teambox.dongguk.ac.kr

To make changes to the hosts file, you'll need to use:

sudo open -a TextEdit /etc/hosts

Enter your user account password when prompted.

Here is a full article on making edits to your hosts file: The Mac Hosts File: How to Modify /etc/hosts in OS X with TextEdit