The facilities differ from station to station, depending on which corporation owns them.
For instance a Lai Dai station may have a Research facility, but no ship repair facility, because Lai Dai are a leading Caldari R+D corporation.
On the other hand, Material Aquisition stations may have a Refining, Fitting and Factory facility, as Material Aquisition are primarily a production corporation.
The easiest way to see the closest station to you with a Cloning Facility is to open up the map in-game and select the "Display Settings" tab on the control panel. From there, scroll down the list, and you'll see an area that is called "Station Facilities". Select the cloning option, and this will illuminate all the systems that have the facility in one of their stations.
There should be a facility close by in any high-security empire station that allows you to renew your clone.
Hope this helps