The TMD4 is an X10 transmitter. And by itself can not turn anything on or off. Plus you need to use momnetary switches. You will also need to invest in some appliance modules. Personally I would have gone for a TMA4, and 4 appliance modules. The TMA4 can also use normal switches.
Will you be able to program the module. If not you will be stuck with the following defaults Address will be A1 to A4. No dim or bright functions (not that important for you). Doesn't respond to All Lights On or Off.
So to get your project to work you will need 4 appliance modules, such as the AW12 micro module, set to A1, A2, A3 and A4 for example. Another option would be to use AM12W modules these are much bigger but have the added advantage of having code wheels on them so their addresses can be configured manually.
Hope this helps