Nolo publishes a pretty comprehensive guide on DIY evictions. You can probably find a copy at your local library.
Sitting in a a courtroom listening to eviction cases isn't going to teach you the process of how those parties arrived there. You're going to need to learn procedure. That's why you either need a good book, spend several hours on the Internet, or hire an attorney who already knows how to do this. Here is a law firm I've used before: http://www.liddleandliddle.com/
In a nutshell, after the 3-day notice to pay or quit, you need to file an unlawful detainer with the superior court. This filing is termed a Complaint and once entered into the court, the clerk will issue a Summons. You will need to find a process server to serve this Summons to your tenant (I don't believe you can do it yourself).
After successful service of process, the case can go two ways. One is the tenant does nothing by the deadline provided in the Summons and automatically loses the case in the form of a Default Judgement. Once this occurs, you can usually get a Writ of Possession quickly so the Sheriff can go boot the tenant out. However, if the tenant responds to the Summons, called an Answer, then a court date is set and the process drags on even longer.
Word to the wise, always file a Prejudgment Claim of Right to Possession at the same time as the unlawful detainer. This puts EVERYONE who may possibly be residing in your property on notice that eviction proceedings are in process and gives them some time to file their claim as to why they should be allowed to remain. This adds time to the process up front, but can save weeks, even months, in time later should a friend or relative of the tenant "move in" suddenly and claim they're legally residing in your property. This could happen when the Sheriff shows up and he will in fact turn around and go away until resolved. The Prejudgement Claim short circuits all those little tenant tricks.
This is a very elementary overview of the process and I'm not an attorney, but you can see how complex it is. If you plan on doing this yourself, it's going to be a great learning experience. But realize this learning experience may cost you loss in rent for several months if the tenant is well armed with knowledge of the law and attempts to drag it out as long as possible.
Best of luck and please report back with your experience so we can all learn from it.