If I am understanding correctly, you have some web projects on a home server, accessing it locally, and are now moving those to a mac, maybe a laptop. Is this correct?
If so, you need a real apache/mysql/php setup - the easiest way to do this is by using MAMP, which includes all you need in one (free)package - this makes moving things around a piece o cake.
http://www.mamp.info/en/index.phpUsing MAMP,the file path should be Applications/MAMP/htdocs/projectfolders --VERY simple. You can even run it on a thumb drive this way. All that matters is that the root folder needs to be found - the htdocs folder is analogous to "public_html" on an online service.
If you are in dreamweaver for instance, have the "test server" point to your /projectfolders (they may be several websites in different folders) - or just choose the root folder, which would be the "htdocs", just so it matches your original file tree from that point on down the tree.
This is how I run several versions of drupal, joomla, or any simple html sites.
Hope that helps. If you have a PC, XAMP works in the same fashion.