Please understand. I do not advocate running a Web server on your home network. But if you are in a bind where it is the only choice, finding the right software is going to be key as far as the administration side of things go. One good option that you might investigate is NetworkActiv Web Server. Not really the fanciest thing in the world, but at least it is free!

NetworkActiv Web Server is a simple web server, intended primarily for file sharing directly from your computer. Just select the directory you want to share and start the server. It will automatically create an index page that lists all the files that are located in the directory. You can optionally allow the user to sort them dynamically, and also require a password to access the server. Additional features include customizable file listing with icons, real-time log display and statistics, access restriction by IP address or range as well as support for multiple root folders. No installation needed.