TLDR: Would a "real server" (Apache? Flask? Django?) be able to unify various services behind readable subdirectories (abc.work.com/svn, abc.work.com/hg) instead of using port numbers (abc.work.com:8000, abs.work.com:8001)?
Long Version: In the last year I've learned how to serve files with Mongoose, run a minimal python webserver, host version control repositories with Subversion and Mercurial, and host a Trac issue tracker/project management framework.
In each case I've been using the easy built-in webserver provided by each tool to host it from my Windows 7 laptop at work (I'm an engineer who codes, not actually paid to be a "software guy"). In order to avoid clashing I've used different port numbers in the 8000 range for each server to listen on, and sent my coworkers links like http://machinename.domain.com:8042 to access these magical things I've created.
The first obvious problem is that I'm running a lot of these things out of a command prompt and just letting it sit open on my desktop. I also know how to call cmd.exe from VBScript in order to hide the command prompt if that's all I wanted. Many of the built-in webservers even have options to run as a service, which can get harry with permissions, but is closer to the "right" way to host a server of any kind.
The bigger problem is that I'm sending people links to my machine with different port numbers. I'm ok with them having to use my machine name - I assume I'd need the network admin folks to add a DNS entry to call it TeamAwesome.company.com instead of machinename.company.com:8000?
The bigger question is, if I did something fancy like an Apache, Django, or Flask webserver, could I set it up like machinename.company.com/trac for the trac server and machinename.company.com/hg/project1 for the HG repository for project1? I'm looking at Apache, Django, and Flask because I've been diving into Python for 2 years now and those appear the most applicable/approachable for my needs.
I understand that ideally this stuff should be hosted on a separate linux-y server machine, but I'll need to prove the usefulness of the tools I'm developing before I request server resources from my boss (who hired me to do engineering, not programming, or web development, or systems administration, etc.).
I see this looks related. Are http proxies, virtual hosts, nginx, and WebSockets things to look at?
Looking at Apache VirtualHost examples looks promising though I can't decipher if one of those examples actually does what I'm talking about. Thanks for any suggestions as I go further down the rabbit hole with this stuff!