First off, IF you have paid for the additional support from ESRI, I suggest that you contact ESRI Support, describe to them what you want to do and they can assist you, step-by-step as to how to go about what you want to accomplish. If you haven't, recommend that your office get it! It's well worth the cost.
Second, it will be impossible to directly move your project to other locations in your office simply because an MXD can't be read directly by any other software but ArcMap, unless:
-you have a server-based floating license, in which case you can open your project from anywhere ArcMap is installed/accessible, OR
-you have enough copies of ArcMap to load it on any computer you care to.-if you have either one of these cases, check out the "MXD Packager" script on ESRI's Downloads site.-At first impression, either case doesn't sound likely in your office.
HOWEVER, there are a number of ways to indirectly accomplish what you want and that is through the use of EXTERNAL FREE VIEWERS from a number of sources.
-Check out ESRI's own ArcExplorer (FREE). I am fairly certain that it supports hotlinks. There are tools available in the downloads section on ESRI's site which will allow you to take one of your MXDs and create an ArcExplorer-compatible project file. You can write the project and the program to a CD and install/run it anywhere.
-MapWindow developed at Utah State is another third party program to use (also free).
-A WWW search for FREE GIS will reveal a whole host of other FREE RESOURCES! Simply [sic] re-build your project(s) to be compatible with whatever viewer you choose and you're off and running.
Check out ESRI FIRST; they're your best bet. Good Luck!