how to find and register for a trade school that has an x-ray program

I don't know of any trade schools that have a program for x-ray technology. Some JC's & colleges have a programs in conjunction with hospitals. Some hospitals have their own program. I cannot give links on here as it is not permitted. If you do a search for The American Registry Of Radiologic Technologists you will find more information on x-ray technologists.
I would also go to the nearest hospital and ask the technologists or director of radiology about a local program.
Where ever you go make sure they are accredited and ask what % of their students pass the registry test the first time.
Good luck to you.