Okay, thanks for that.
As an appellate attorney, I would strongly recommend that you get an appellate attorney who does landlord-tenant work to do an appeal. It has to be done correctly and the procedure is not easy. Most lawyers don't know how to do appeals unless they specialize in appellate work. Since my work is now limited to appeals (I used to be a litigator), I see a lot of things that lawyers do who don't regularly do appeals and they're pretty sad.
That being said, I would urge you to get an attorney if you can, one who does appeals.
The procedure in Cal is this:
A tenant who loses an unlawful detainer lawsuit may appeal the judgment if the tenant believes that the judge mistakenly decided a legal issue in the case. However, the tenant will have to move before the appeal is heard, unless the tenant obtains a stay of enforcement of the judgment. The court will not grant the tenant's request for a stay of enforcement unless the court finds that the tenant or the tenant's family will suffer extreme hardship, and that the landlord will not suffer irreparable harm. If the court grants the request for a stay of enforcement, it will order the tenant to make rent payments to the court in the amount ordered by the court and may impose additional conditions.
A stay is usually done by a motion or request for an order of a stay, which will keep the status quo so that you can remain in the apartment or house while the appeal is being heard. It has to be done immediately or you will have the eviction happen before the court grants the stay, so you'd have to work on it this weekend.