A appointment is not mandatory to apply for the 60 day extension at the local immigration office for where you are staying.
Your wife will need to be with you when you apply for the extension.
You will need copies of your passport photo page, visa and arrival stamp. Also a copy of your TM6 arrival card if you got one when you arrived.
Your marriage certificate and copy of it will be needed. Copies of you wife's house book registry and ID card.