HOw do I change the igntion switch on a 94 Chevy Silverado after I tried breaking it off and failing to do so??

I don't know of any that you "Break Off", most have screws or something to release with.

It should be similar to this:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-2.html#post224652