So basically my questions are:
1) How can I lower my charge to an infraction so I can correct it and erase it from my record? (reminder: this is my first offense)
Consult with a criminal defense Attorney
2) How can I change my address so that my parents don't find out?
You can't
3) Will I need to hire a lawyer? (I'd prefer not to... as they seem to charge a sizeable fee)
Yes you need an Attorney if you cannot affford one request a public defender
4) What are public defenders?
Attorneys
5) Can I get booked at any police station?
Call and ask but I doubt it
6) Can I change my court date to either a later date in the summer, so I am back in northern california, or can I change the location to LA?