My first guitar string snapped and it launched a small circular pin somewhere. I looked up how to restring guitar strings and other peoples stringboard look different than how mine is set up. the pins I have aren’t long and straight they are small circular things fitted into a small hole in the wood. What are these kinds of pins called? Can I upgrade to standard guitar pins?
Those aren’t pins at all. Those are the “balls” on the end of the strings. Get new strings, and just feed the through that hole in the bridge, then up to the tuning peg.
A good shop would probably be willing to show you how to string it if you buy the strings there.