Well if you really want to develop colour then processing E6 slide film has the least equipment requirement - just a developing tank, a thermometer, a few measures and the chemicals.
The problem with processing colour film is maintaining a reasonably consistent temperature throughout the process, but it can be done in a home environment with minimum equipment and a bit of care.
I'd highly recommend starting with black and white first, as temperature is not so critical, and it will familiarise you with the process before you tackle colour.